218 LearnersLast updated on May 26th, 2025
Factors of 157
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 157?
With the help of the long division method, we can find out that 157 can be easily divided by 1 and 157. It is also worth remembering that numbers, having only 2 factors, are called prime numbers.
How to find the factors of 157
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
- Prime factors and prime factorization
- 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 157 the pairs are.
1 × 157 = 157
Hence, we can conclude that the factors of 157 are 1 and 157.
Finding factors by division method
In the division method, you need to divide the given number 157 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.
157 ÷ 1 = 157 (no remainder)
157 ÷ 157 = 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.
157÷1= 157 (1 is a prime factor).
157 is also a prime number. Therefore, prime factors of 157 are 1 and 157.
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 157.
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.
Mistake 1
Ignoring 1 and the number itself as factors.
1 and the number itself are always considered as factors since they can divide the number, leaving no reminder. Hence, students should not exclude them while listing a number of factors.
Factors of 157 Examples
Problem 1
Is 20 a perfect square number?
No, 20 is not a perfect square.
Explanation
√20 ≈ 4.47
4.47 is not an integer.
Problem 2
What is the sum of all the factors of 48?
1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 48 = 168
Explanation
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Sum of factors: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 48 = 120
Problem 3
If a number has exactly 4 factors, what could it be?
16
Explanation
9 = 32 so its factors are 1, 3, and 9 (3 factors)
16 = 24 so its factors are 1, 2, 4, 8, and 16 (5 factors)
FAQs on factors of 157
1. How many odd factors does 15 have?
2.Why can't 0 be a factor of any number?
3.Is 157 a composite number?
4.What are the factor pairs of 21?
5.What is the largest factor of 157?
Important glossaries for factors of 157
- 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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