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1 - <p>340 Learners</p>
1 + <p>380 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 149?</h2>
4 <h2>What are the factors of 149?</h2>
5 <h2>How to find the factors of 149</h2>
5 <h2>How to find the factors of 149</h2>
6 <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>
6 <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 <ul><li>Multiplication method</li>
7 <ul><li>Multiplication method</li>
8 </ul><ul><li>Division method</li>
8 </ul><ul><li>Division method</li>
9 </ul><ul><li>Prime factors and<a>prime factorization</a></li>
9 </ul><ul><li>Prime factors and<a>prime factorization</a></li>
10 </ul><ul><li>Factor tree </li>
10 </ul><ul><li>Factor tree </li>
11 </ul><h3>Finding factors using multiplication method</h3>
11 </ul><h3>Finding factors using multiplication method</h3>
12 <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 149 the pairs are.</p>
12 <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 149 the pairs are.</p>
13 <p>1 × 149 = 149</p>
13 <p>1 × 149 = 149</p>
14 <p>Hence, we can conclude that the factors of 149 are 1 and 149 </p>
14 <p>Hence, we can conclude that the factors of 149 are 1 and 149 </p>
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15 <h3>Explore Our Programs</h3>
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17 <h3>Finding factors by division method</h3>
16 <h3>Finding factors by division method</h3>
18 <p>In the<a>division</a>method, you need to divide the given number 149 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>
17 <p>In the<a>division</a>method, you need to divide the given number 149 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>
19 <p>149 ÷ 1 = 149 (no<a>remainder</a>)</p>
18 <p>149 ÷ 1 = 149 (no<a>remainder</a>)</p>
20 <p>149 ÷ 149 = 1 (no remainder) </p>
19 <p>149 ÷ 149 = 1 (no remainder) </p>
21 <h3>Prime factors and prime factorization</h3>
20 <h3>Prime factors and prime factorization</h3>
22 <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>
21 <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>149÷1= 149 (1 is a prime factor).</p>
22 <p>149÷1= 149 (1 is a prime factor).</p>
24 <p>149 is also a prime number.</p>
23 <p>149 is also a prime number.</p>
25 <p>Therefore, prime factors of 149 are 1 and 149. </p>
24 <p>Therefore, prime factors of 149 are 1 and 149. </p>
26 <h3>Factor tree</h3>
25 <h3>Factor tree</h3>
27 <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>
26 <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 <h2>Common mistakes and how to avoid them in factors of 149.</h2>
27 <h2>Common mistakes and how to avoid them in factors of 149.</h2>
29 <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>
28 <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>
 
29 + <h2>Download Worksheets</h2>
30 <h3>Problem 1</h3>
30 <h3>Problem 1</h3>
31 <p>What is the sum of all the factors of 36?</p>
31 <p>What is the sum of all the factors of 36?</p>
32 <p>Okay, lets begin</p>
32 <p>Okay, lets begin</p>
33 <p>1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 36 = 91 </p>
33 <p>1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 36 = 91 </p>
34 <h3>Explanation</h3>
34 <h3>Explanation</h3>
35 <p>Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36</p>
35 <p>Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36</p>
36 <p>Sum of factors: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 36 = 91 </p>
36 <p>Sum of factors: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 36 = 91 </p>
37 <p>Well explained 👍</p>
37 <p>Well explained 👍</p>
38 <h3>Problem 2</h3>
38 <h3>Problem 2</h3>
39 <p>Is 20 a perfect square number?</p>
39 <p>Is 20 a perfect square number?</p>
40 <p>Okay, lets begin</p>
40 <p>Okay, lets begin</p>
41 <p>No, 20 is not a perfect square. </p>
41 <p>No, 20 is not a perfect square. </p>
42 <h3>Explanation</h3>
42 <h3>Explanation</h3>
43 <p>√20 ≈ 4.47</p>
43 <p>√20 ≈ 4.47</p>
44 <p>4.47 is not an integer. </p>
44 <p>4.47 is not an integer. </p>
45 <p>Well explained 👍</p>
45 <p>Well explained 👍</p>
46 <h3>Problem 3</h3>
46 <h3>Problem 3</h3>
47 <p>What are the prime factors of 84?</p>
47 <p>What are the prime factors of 84?</p>
48 <p>Okay, lets begin</p>
48 <p>Okay, lets begin</p>
49 <p>22×3×7= 84 </p>
49 <p>22×3×7= 84 </p>
50 <h3>Explanation</h3>
50 <h3>Explanation</h3>
51 <p>84 ÷ 2 = 42</p>
51 <p>84 ÷ 2 = 42</p>
52 <p>42 ÷ 2 = 21</p>
52 <p>42 ÷ 2 = 21</p>
53 <p>21 ÷ 3 = 7 </p>
53 <p>21 ÷ 3 = 7 </p>
54 <p>Well explained 👍</p>
54 <p>Well explained 👍</p>
55 <h2>FAQs on factors of 149</h2>
55 <h2>FAQs on factors of 149</h2>
56 <h3>1.Which is the only even prime factor that exists?</h3>
56 <h3>1.Which is the only even prime factor that exists?</h3>
57 <p>The number 2 is the only even prime factor that exists, because there are no other prime numbers which are even in nature. </p>
57 <p>The number 2 is the only even prime factor that exists, because there are no other prime numbers which are even in nature. </p>
58 <h3>2.What is the largest factor of 149?</h3>
58 <h3>2.What is the largest factor of 149?</h3>
59 <p>So for the number 149 the largest factor which is able to divide it, and leaves no remainder is 149 itself, therefore the largest factor of the number 149 is the number 149 itself.</p>
59 <p>So for the number 149 the largest factor which is able to divide it, and leaves no remainder is 149 itself, therefore the largest factor of the number 149 is the number 149 itself.</p>
60 <h3>3.Can a number have only one factor?</h3>
60 <h3>3.Can a number have only one factor?</h3>
61 <p>Yes, the number 1 is quite unique and has only one factor, which is itself. Meaning, no other number other than 1 can divide it. </p>
61 <p>Yes, the number 1 is quite unique and has only one factor, which is itself. Meaning, no other number other than 1 can divide it. </p>
62 <h3>4. How many factors do prime numbers have?</h3>
62 <h3>4. How many factors do prime numbers have?</h3>
63 <p>According to the prime number definition, a number with only two distinct divisors or factors are known as prime numbers, and they must not have any prime factors of their own. </p>
63 <p>According to the prime number definition, a number with only two distinct divisors or factors are known as prime numbers, and they must not have any prime factors of their own. </p>
64 <h3>5.Is 56 a factor of 168?</h3>
64 <h3>5.Is 56 a factor of 168?</h3>
65 <p>Yes, when we use the division method on 168 we find out that 56 divides 168 with 3 leaving no remainder, hence 56 divides 168 equally.</p>
65 <p>Yes, when we use the division method on 168 we find out that 56 divides 168 with 3 leaving no remainder, hence 56 divides 168 equally.</p>
66 <h2>Important glossaries for factors of 149</h2>
66 <h2>Important glossaries for factors of 149</h2>
67 <ul><li><strong>Divisor:</strong>Any integer that can be divided, with no remainder, by some other integer, is a divisor.</li>
67 <ul><li><strong>Divisor:</strong>Any integer that can be divided, with no remainder, by some other integer, is a divisor.</li>
68 </ul><ul><li><strong>Prime Factorization:</strong>Writing a number as the product of its own prime factors.</li>
68 </ul><ul><li><strong>Prime Factorization:</strong>Writing a number as the product of its own prime factors.</li>
69 </ul><ul><li><strong>Factor Pair:</strong>Multiplication of two factors to get a product.</li>
69 </ul><ul><li><strong>Factor Pair:</strong>Multiplication of two factors to get a product.</li>
70 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
70 </ul><p>What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math</p>
71 <p>▶</p>
71 <p>▶</p>
72 <h2>Hiralee Lalitkumar Makwana</h2>
72 <h2>Hiralee Lalitkumar Makwana</h2>
73 <h3>About the Author</h3>
73 <h3>About the Author</h3>
74 <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>
74 <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>
75 <h3>Fun Fact</h3>
75 <h3>Fun Fact</h3>
76 <p>: She loves to read number jokes and games.</p>
76 <p>: She loves to read number jokes and games.</p>