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Factors of 137

Factors of 137 are numbers that, when multiplied in pairs give the product as 137. There are 2 factors of 137, which are 1, 137. Here, 137 is the biggest factor. The Pair Factors of 137 are (1, 137) and its Prime Factors is 137.

All Factors of 137: 1 and 137
Negative Factors of 137: -1 and -137
Prime Factors of 137: 137
Prime Factorization of 137: 137¹
Sum of Factors of 137: 138

1.	What Are the Factors of 137?
2.	Factors of 137 by Prime Factorization
3.	Factors of 137 in Pairs
4.	FAQs on Factors of 137

What are Factors of 137?

Factors of 137 are pairs of those numbers whose products result in 137. These factors are either prime numbers or composite numbers.

How to Find the Factors of 137?

To find the factors of 137, we will have to find the list of numbers that would divide 137 without leaving any remainder.

137/1 = 137; therefore, 1 is a factor of 137.
137/137 = 1; therefore, 137 is a factor of 137.

Hence, the factors of 137 are 1, 137.

☛ Also Check:

Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
Factors of 7 - The factors of 7 are 1, 7
Factors of 65 - The factors of 65 are 1, 5, 13, 65
Factors of 27 - The factors of 27 are 1, 3, 9, 27

Factors of 137 by Prime Factorization

The number 137 is prime and therefore its factors are only the numbers 1 and 137 itself. Hence, it has only one prime factor that is the number itself, i.e. 137.

So, the prime factorization of 137 can be written as 137¹ where 137 is prime.

Factors of 137 in Pairs

Pair factors of 137 are the pairs of numbers that when multiplied give the product 137. The factors of 137 in pairs are:

1 × 137 = (1, 137)

Negative pair factors of 137 are:

-1 × -137 = (-1, -137)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 137 Solved Examples

Example 1: How many factors are there for 137?

Solution:

The factors of 137 are 1, 137. Therefore, 137 has 2 factors.
Example 2: Find the Least Common Multiple and Greatest Common Factor (GCF) of 137 and 81.

Solution:

The factors of 137 are 1, 137 and factors of 81 are 1, 3, 9, 27, 81.

Therefore, the Least Common Multiple of 137 and 81 is 11097 and Greatest Common Factor (GCF) of 137 and 81 is 1.
Example 3: Find if 1 and 134 are factors of 137.

Solution:

When we divide 137 by 134 it leaves a remainder. Therefore, the number 134 is not a factor of 137. All numbers except 134 are factors of 137.
Example 4: Find the product of all the factors of 137.

Solution:

Since, the factors of 137 are 1, 137. Therefore, the product of factors = 1 × 137 = 137.

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FAQs on Factors of 137

What are the Factors of 137?

The factors of 137 are 1, 137 and its negative factors are -1, -137.

What is the Sum of Factors of 137?

Factors of 137 are 1, 137 and, the sum of all these factors is 1 + 137 = 138

What numbers are the Pair Factors of 137?

The pair factors of 137 are (1, 137).

What is the Greatest Common Factor of 137 and 103?

The factors of 137 are 1, 137 and the factors of 103 are 1, 103. 137 and 103 have only one common factor which is 1. This implies that 137 and 103 are co-prime.

Hence, the Greatest Common Factor (GCF) of 137 and 103 is 1.

What are the Common Factors of 137 and 89?

Since, the factors of 137 are 1, 137 and factors of 89 are 1, 89. Hence, 137 and 89 have only one common factor which is 1. Therefore, 137 and 89 are co-prime.

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