Factors of 187
2026-02-28 11:19 Diff
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Last updated on December 11, 2025

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.

What are the factors of 187?

With the help of the long division method, we can find out that 187 can be easily divided by 1, 11, 17, and 187. It is also worth remembering that numbers, having only 2 factors, are called prime numbers.
 

How to find the factors of 187

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.

  • Multiplication method
  • Division method
  • Factor tree
     

Finding factors using multiplication method

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 187 the pairs are.


1 × 187 = 187


11 × 17 = 187


Hence, we can conclude that the factors of 182 are 1, 11, 17, and 187.
 

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Finding factors by division method

In the division method, you need to divide the given number 187 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.


187 ÷ 1 = 187 (no remainder)


187 ÷ 11 = 17 (no remainder)


187 ÷ 17 = 11 (no remainder)


187 ÷ 187 = 1 (no remainder)
 

Prime factors and prime factorization

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.


187÷11= 17 (17 is a prime factor). 11 is also a prime number. Therefore, prime factors of 187 are 11 and 17.

Factor tree

A factor tree 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.
 

Common mistakes and how to avoid them in factors of 187.

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

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Problem 1

Write the sum of prime factors of the numbers 28 and 15?

Okay, lets begin

The sum of the prime factors of 28 and 15 is 19.
 

Explanation

Prime factorization of 28: 2 × 2 × 7


Prime factorization of 15: 3 × 5


Sum of prime factors: (2 + 2 + 7) + (3 + 5) = 19
 

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Problem 2

By using the prime factorization method, write the factors of 72?

Okay, lets begin

 The prime factorization of 72 is 23×32
 

Explanation

Prime factorization of 72: 23 × 32
:
 

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Problem 3

Give all the odd factors of 56?

Okay, lets begin

The odd factors of 56 are 1, 7.
 

Explanation

Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56


Odd factors: 1, 7
 

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FAQs on factors of 187

1.Other than 1 what is the smallest factor of 187?

So for the number 187 the smallest factor which is able to divide it, and leaves no remainder is 11, therefore the smallest factor of the number 187 is the number 11.

2. Is 41 a factor of 164?

Yes, when we use the prime factorization method on 164 we find out that the prime factors of 164 are 41 and 2, proving that 41 is indeed a factor of 164.
 

3. How many factors do prime numbers have?

 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.
 

4. What is the greatest common factor between 12 and 18?

By the use of the division method we can get to know that 1, 2, 3, 4, 6, and 12 are factors of the number 12 and that 1, 2, 3, 6, 9, and 18 are factors of 18. Among these factors, 6 is the greatest common factor.
 

5.What are the prime factors of 83?

By using the prime factorization method, we can see that 83 has two prime factors, 2, 3, and 7. This also proves that the number 83 is a composite number.
 

Important glossaries for factors of 187

  • Divisor: Any integer that can be divided, with no remainder, by some other integer, is a divisor.
  • Prime Factorization: Writing a number as the product of its own prime factors.
  • Factor Pair: Multiplication of two factors to get a product.
     

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Hiralee Lalitkumar Makwana

About the Author

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.

Fun Fact

: She loves to read number jokes and games.