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1 - <p>354 Learners</p>
1 + <p>390 Learners</p>
2 <p>Last updated on<strong>December 11, 2025</strong></p>
2 <p>Last updated on<strong>December 11, 2025</strong></p>
3 <p>In this topic, let's learn about factors. It is scarce to find numbers that will divide a given number up to the smallest unit without remainder. These numbers are known as the factors, and learning about factors happens when a student comes across a number or number pair in the real world.</p>
3 <p>In this topic, let's learn about factors. It is scarce to find numbers that will divide a given number up to the smallest unit without remainder. These numbers are known as the factors, and learning about factors happens when a student comes across a number or number pair in the real world.</p>
4 <h2>What are the factors of 124?</h2>
4 <h2>What are the factors of 124?</h2>
5 <p>With the help of the<a>long division</a>method, we can find out that 124 can be easily divided by 1, 2, 4, 31, 62, and 124. It is also worth remembering that<a>numbers</a>, having only 2<a>factors</a>, are called<a>prime numbers</a>.</p>
5 <p>With the help of the<a>long division</a>method, we can find out that 124 can be easily divided by 1, 2, 4, 31, 62, and 124. It is also worth remembering that<a>numbers</a>, having only 2<a>factors</a>, are called<a>prime numbers</a>.</p>
6 <h2>How to find the factors of 124</h2>
6 <h2>How to find the factors of 124</h2>
7 <p>There are many methods which the students can use to find out the factors of a number. Below you can find some of these methods.</p>
7 <p>There are many methods which the students can use to find out the factors of a number. Below you can find some of these methods.</p>
8 <ul><li>Multiplication method</li>
8 <ul><li>Multiplication method</li>
9 </ul><ul><li>Division method</li>
9 </ul><ul><li>Division method</li>
10 </ul><ul><li>Prime factors and<a>prime factorization</a></li>
10 </ul><ul><li>Prime factors and<a>prime factorization</a></li>
11 </ul><ul><li>Factor tree </li>
11 </ul><ul><li>Factor tree </li>
12 </ul><h3>Finding factors using multiplication method:</h3>
12 </ul><h3>Finding factors using multiplication method:</h3>
13 <p>Multiplication method is quite an easy method where we find the pair of numbers which when multiplied with each other give the desired number. For 124 the pairs are.</p>
13 <p>Multiplication method is quite an easy method where we find the pair of numbers which when multiplied with each other give the desired number. For 124 the pairs are.</p>
14 <p>1×124=124 2×62=124 4×31=124</p>
14 <p>1×124=124 2×62=124 4×31=124</p>
15 <p>Therefore, we are able to conclude that the numbers 1, 2, 4, 31, 62, and 124 represent the factors of the number 124. </p>
15 <p>Therefore, we are able to conclude that the numbers 1, 2, 4, 31, 62, and 124 represent the factors of the number 124. </p>
16 <h3>Explore Our Programs</h3>
16 <h3>Explore Our Programs</h3>
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18 <h3>Finding factors by division method</h3>
17 <h3>Finding factors by division method</h3>
19 <p>In the<a>division</a>method, you need to divide the given number 124 by every number starting from 1. If any number is able to divide it without leaving any reminder, then that number is considered as one of its factors.</p>
18 <p>In the<a>division</a>method, you need to divide the given number 124 by every number starting from 1. If any number is able to divide it without leaving any reminder, then that number is considered as one of its factors.</p>
20 <p>124÷1=124 (no<a>remainder</a>)</p>
19 <p>124÷1=124 (no<a>remainder</a>)</p>
21 <p>124÷2=62 (no remainder)</p>
20 <p>124÷2=62 (no remainder)</p>
22 <p>124÷4=31 (no remainder) </p>
21 <p>124÷4=31 (no remainder) </p>
23 <h3>Prime factors and prime factorization</h3>
22 <h3>Prime factors and prime factorization</h3>
24 <p>Prime factorization is done by dividing the number by prime numbers to see which prime number is able to divide it, and if it does, then that number is considered as a prime number.</p>
23 <p>Prime factorization is done by dividing the number by prime numbers to see which prime number is able to divide it, and if it does, then that number is considered as a prime number.</p>
25 <p>124÷2= 62 (2 is a prime factor).</p>
24 <p>124÷2= 62 (2 is a prime factor).</p>
26 <p>31 is also a prime number.</p>
25 <p>31 is also a prime number.</p>
27 <p>Therefore, prime factors of 124 are 2 and 31.</p>
26 <p>Therefore, prime factors of 124 are 2 and 31.</p>
28 <h3>Factor tree</h3>
27 <h3>Factor tree</h3>
29 <p>A<a>factor tree</a>is a form of number tree, which is a diagram which represents simple division, where the number at the top is divided until it reaches a prime number or cannot be further divided.</p>
28 <p>A<a>factor tree</a>is a form of number tree, which is a diagram which represents simple division, where the number at the top is divided until it reaches a prime number or cannot be further divided.</p>
30 <h2>Common mistakes and how to avoid them in factors of 124</h2>
29 <h2>Common mistakes and how to avoid them in factors of 124</h2>
31 <p>It is quite normal for students to commit a few mistakes while trying to find out the factors of a number. Below are a few such mistakes and how to avoid them. </p>
30 <p>It is quite normal for students to commit a few mistakes while trying to find out the factors of a number. Below are a few such mistakes and how to avoid them. </p>
 
31 + <h2>Download Worksheets</h2>
32 <h3>Problem 1</h3>
32 <h3>Problem 1</h3>
33 <p>Is 15 a perfect square number?</p>
33 <p>Is 15 a perfect square number?</p>
34 <p>Okay, lets begin</p>
34 <p>Okay, lets begin</p>
35 <p> No, 15 is not a perfect square</p>
35 <p> No, 15 is not a perfect square</p>
36 <h3>Explanation</h3>
36 <h3>Explanation</h3>
37 <p>√15 ≈ 3.87</p>
37 <p>√15 ≈ 3.87</p>
38 <p>3.87 is not an integer. </p>
38 <p>3.87 is not an integer. </p>
39 <p>Well explained 👍</p>
39 <p>Well explained 👍</p>
40 <h3>Problem 2</h3>
40 <h3>Problem 2</h3>
41 <p>What is the least common multiple (LCM) of 8 and 14?</p>
41 <p>What is the least common multiple (LCM) of 8 and 14?</p>
42 <p>Okay, lets begin</p>
42 <p>Okay, lets begin</p>
43 <p> 56 </p>
43 <p> 56 </p>
44 <h3>Explanation</h3>
44 <h3>Explanation</h3>
45 <p>Multiples of 8: 8, 16, 24, 32, 40, 48, 56, ...</p>
45 <p>Multiples of 8: 8, 16, 24, 32, 40, 48, 56, ...</p>
46 <p>Multiples of 14: 14, 28, 42, 56, ...</p>
46 <p>Multiples of 14: 14, 28, 42, 56, ...</p>
47 <p>LCM: 56 </p>
47 <p>LCM: 56 </p>
48 <p>Well explained 👍</p>
48 <p>Well explained 👍</p>
49 <h3>Problem 3</h3>
49 <h3>Problem 3</h3>
50 <p>What are the factors of 49?</p>
50 <p>What are the factors of 49?</p>
51 <p>Okay, lets begin</p>
51 <p>Okay, lets begin</p>
52 <p>1, 7 and 49 will be considered as the factors of the number 49. </p>
52 <p>1, 7 and 49 will be considered as the factors of the number 49. </p>
53 <h3>Explanation</h3>
53 <h3>Explanation</h3>
54 <p>49 = 7 × 7</p>
54 <p>49 = 7 × 7</p>
55 <p>Factors: 1, 7, 49</p>
55 <p>Factors: 1, 7, 49</p>
56 <p>Well explained 👍</p>
56 <p>Well explained 👍</p>
57 <h2>FAQs on factors of 124</h2>
57 <h2>FAQs on factors of 124</h2>
58 <h3>1.How many even factors does 124 have?</h3>
58 <h3>1.How many even factors does 124 have?</h3>
59 <p>By using the division method, we first find out all the factors of 124 and then find out the even factors. There are 4 even factors in 124 which are 2, 4, 62, 124. </p>
59 <p>By using the division method, we first find out all the factors of 124 and then find out the even factors. There are 4 even factors in 124 which are 2, 4, 62, 124. </p>
60 <h3>2.What is the sum of the factors of 9 together?</h3>
60 <h3>2.What is the sum of the factors of 9 together?</h3>
61 <p> By using the division method, we can find out the factors of 9, which are 1, 3, and 9. Now if we add them, we get 1 + 3 + 9= 13.</p>
61 <p> By using the division method, we can find out the factors of 9, which are 1, 3, and 9. Now if we add them, we get 1 + 3 + 9= 13.</p>
62 <h3>3.Is 62 a factor of 124?</h3>
62 <h3>3.Is 62 a factor of 124?</h3>
63 <p>Yes, when we use the prime factorization method on 124 we find out that 1, 2, 4, 31, 62 and 124 are the factors of 124, proving that 62 is indeed a factor of 124. </p>
63 <p>Yes, when we use the prime factorization method on 124 we find out that 1, 2, 4, 31, 62 and 124 are the factors of 124, proving that 62 is indeed a factor of 124. </p>
64 <h3>4.How do you differentiate between multiples and factors?</h3>
64 <h3>4.How do you differentiate between multiples and factors?</h3>
65 <p>Factors are the numbers used to divide a bigger number until the reminder is zero, whereas multiples are the numbers used to multiply with each other to give a bigger number. </p>
65 <p>Factors are the numbers used to divide a bigger number until the reminder is zero, whereas multiples are the numbers used to multiply with each other to give a bigger number. </p>
66 <h3>5.Is 111 a prime number?</h3>
66 <h3>5.Is 111 a prime number?</h3>
67 <p> A number that can only be split by two distinct divisors is a prime number, 111 has over two divisors, so it’s a non-prime (composite number). </p>
67 <p> A number that can only be split by two distinct divisors is a prime number, 111 has over two divisors, so it’s a non-prime (composite number). </p>
68 <h2>Important Glossaries for Factors of 124</h2>
68 <h2>Important Glossaries for Factors of 124</h2>
69 <ul><li><strong>Divisor</strong>: Any integer that can be divided, with no remainder, by some other integer, is a divisor.</li>
69 <ul><li><strong>Divisor</strong>: Any integer that can be divided, with no remainder, by some other integer, is a divisor.</li>
70 </ul><ul><li><strong>Prime Factorization:</strong>Writing a number as the product of its own prime factors.</li>
70 </ul><ul><li><strong>Prime Factorization:</strong>Writing a number as the product of its own prime factors.</li>
71 </ul><ul><li><strong>Factor Pair:</strong>Multiplication of two factors to get a product. </li>
71 </ul><ul><li><strong>Factor Pair:</strong>Multiplication of two factors to get a product. </li>
72 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
72 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
73 <p>▶</p>
73 <p>▶</p>
74 <h2>Hiralee Lalitkumar Makwana</h2>
74 <h2>Hiralee Lalitkumar Makwana</h2>
75 <h3>About the Author</h3>
75 <h3>About the Author</h3>
76 <p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
76 <p>Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.</p>
77 <h3>Fun Fact</h3>
77 <h3>Fun Fact</h3>
78 <p>: She loves to read number jokes and games.</p>
78 <p>: She loves to read number jokes and games.</p>