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Factors of 107

Factors of 107 are the list of integers that we can split evenly into 107. There are overall 2 factors of 107 among which 107 is the biggest factor and its positive factors are 1, 107. The sum of all factors of 107 is 108. Its Prime Factors is 107 and (1, 107) are Pair Factors.

All Factors of 107: 1 and 107
Negative Factors of 107: -1 and -107
Prime Factors of 107: 107
Prime Factorization of 107: 107¹
Sum of Factors of 107: 108

1.	What Are the Factors of 107?
2.	Factors of 107 by Prime Factorization
3.	Factors of 107 in Pairs
4.	FAQs on Factors of 107

What are Factors of 107?

Factors of 107 are pairs of those numbers whose products result in 107. These factors are either prime numbers or composite numbers.

How to Find the Factors of 107?

To find the factors of 107, we will have to find the list of numbers that would divide 107 without leaving any remainder.

107/1 = 107; therefore, 1 is a factor of 107.
107/107 = 1; therefore, 107 is a factor of 107.

Hence, the factors of 107 are 1, 107.

☛ Also Check:

Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
Factors of 17 - The factors of 17 are 1, 17
Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
Factors of 8 - The factors of 8 are 1, 2, 4, 8
Factors of 49 - The factors of 49 are 1, 7, 49

Factors of 107 by Prime Factorization

The number 107 is prime and therefore its factors are only the numbers 1 and 107 itself. Hence, it has only one prime factor that is the number itself, i.e. 107.

So, the prime factorization of 107 can be written as 107¹ where 107 is prime.

Factors of 107 in Pairs

Pair factors of 107 are the pairs of numbers that when multiplied give the product 107. The factors of 107 in pairs are:

1 × 107 = (1, 107)

Negative pair factors of 107 are:

-1 × -107 = (-1, -107)

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

Factors of 107 Solved Examples

Example 1: How many factors are there for 107?

Solution:

The factors of 107 are 1, 107. Therefore, 107 has 2 factors.
Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 107 and 46.

Solution:

The factors of 107 are 1, 107 and factors of 46 are 1, 2, 23, 46.

Therefore, the Least Common Multiple of 107 and 46 is 4922 and Greatest Common Divisor (GCD) of 107 and 46 is 1.
Example 3: Find if 1 and 104 are factors of 107.

Solution:

When we divide 107 by 104 it leaves a remainder. Therefore, the number 104 is not a factor of 107. All numbers except 104 are factors of 107.
Example 4: Find the product of all the factors of 107.

Solution:

Since, the factors of 107 are 1, 107. Therefore, the product of factors = 1 × 107 = 107.

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FAQs on Factors of 107

What are the Factors of 107?

The factors of 107 are 1, 107 and its negative factors are -1, -107.

What is the Sum of all Factors of 107?

Factors of 107 are 1, 107 and, the sum of all these factors is 1 + 107 = 108

What are Pair Factors of 107?

The pair factors of 107 are (1, 107).

What is the Greatest Common Factor of 107 and 88?

The factors of 107 are 1, 107 and the factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88. 107 and 88 have only one common factor which is 1. This implies that 107 and 88 are co-prime.

Hence, the Greatest Common Factor (GCF) of 107 and 88 is 1.

How Many Factors of 107 are also Factors of 86?

Since, the factors of 107 are 1, 107 and factors of 86 are 1, 2, 43, 86. Hence, 107 and 86 have only one common factor which is 1. Therefore, 107 and 86 are co-prime.

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