Factors of 149
2026-02-28 10:36 Diff

380 Learners

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 149?

How to find the factors of 149

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 149 the pairs are.


1 × 149 = 149


Hence, we can conclude that the factors of 149 are 1 and 149
 

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Finding factors by division method

In the division 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.


149 ÷ 1 = 149 (no remainder)


149 ÷ 149 = 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.


149÷1= 149 (1 is a prime factor).


149 is also a prime number.


Therefore, prime factors of 149 are 1 and 149.
 

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 149.

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

What is the sum of all the factors of 36?

Okay, lets begin

1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 36 = 91
 

Explanation

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36


Sum of factors: 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 36 = 91
 

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Problem 2

Is 20 a perfect square number?

Okay, lets begin

No, 20 is not a perfect square.
 

Explanation

√20 ≈ 4.47


4.47 is not an integer.
 

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Problem 3

What are the prime factors of 84?

Okay, lets begin

22×3×7= 84
 

Explanation

84 ÷ 2 = 42


42 ÷ 2 = 21


21 ÷ 3 = 7
 

Well explained 👍

FAQs on factors of 149

1.Which is the only even prime factor that exists?

The number 2 is the only even prime factor that exists, because there are no other prime numbers which are even in nature.
 

2.What is the largest factor of 149?

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.

3.Can a number have only one factor?

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.
 

4. 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.
 

5.Is 56 a factor of 168?

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.

Important glossaries for factors of 149

  • 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.