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Factors of 127

Factors of 127 are numbers that, when multiplied in pairs give the product as 127. There are overall 2 factors of 127 among which 127 is the biggest factor and its positive factors are 1, 127. The Prime Factors and Pair Factors of 127 are 127 and (1, 127) respectively.

All Factors of 127: 1 and 127
Negative Factors of 127: -1 and -127
Prime Factors of 127: 127
Prime Factorization of 127: 127¹
Sum of Factors of 127: 128

1.	What Are the Factors of 127?
2.	Factors of 127 by Prime Factorization
3.	Factors of 127 in Pairs
4.	FAQs on Factors of 127

What are Factors of 127?

Factors of 127 are pairs of those numbers whose products result in 127. These factors are either prime numbers or composite numbers.

How to Find the Factors of 127?

To find the factors of 127, we will have to find the list of numbers that would divide 127 without leaving any remainder.

127/127 = 1; therefore, 127 is a factor of 127.
127/1 = 127; therefore, 1 is a factor of 127.

Hence, the factors of 127 are 1, 127.

☛ Also Check:

Factors of 31 - The factors of 31 are 1, 31
Factors of 21 - The factors of 21 are 1, 3, 7, 21
Factors of 17 - The factors of 17 are 1, 17
Factors of 23 - The factors of 23 are 1, 23
Factors of 55 - The factors of 55 are 1, 5, 11, 55

Factors of 127 by Prime Factorization

The number 127 is prime and therefore its factors are only the numbers 1 and 127 itself. Hence, it has only one prime factor that is the number itself, i.e. 127.

So, the prime factorization of 127 can be written as 127¹ where 127 is prime.

Factors of 127 in Pairs

Pair factors of 127 are the pairs of numbers that when multiplied give the product 127. The factors of 127 in pairs are:

1 × 127 = (1, 127)

Negative pair factors of 127 are:

-1 × -127 = (-1, -127)

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

Factors of 127 Solved Examples

Example 1: How many factors are there for 127?

Solution:

The factors of 127 are 1, 127. Therefore, 127 has 2 factors.
Example 2: Find the Lowest Common Multiple (LCM) and Highest Common Factor (HCF) of 127 and 29.

Solution:

The factors of 127 are 1, 127 and factors of 29 are 1, 29.

Therefore, the Lowest Common Multiple (LCM) of 127 and 29 is 3683 and Highest Common Factor (HCF) of 127 and 29 is 1.
Example 3: Find if 1 and 120 are factors of 127.

Solution:

When we divide 127 by 120 it leaves a remainder. Therefore, the number 120 is not a factor of 127. All numbers except 120 are factors of 127.
Example 4: Find the product of all the factors of 127.

Solution:

Since, the factors of 127 are 1, 127. Therefore, the product of factors = 1 × 127 = 127.

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FAQs on Factors of 127

What are the Factors of 127?

The factors of 127 are 1, 127 and its negative factors are -1, -127.

What is the Sum of the Factors of 127?

Factors of 127 are 1, 127 and, the sum of all these factors is 1 + 127 = 128

What are Prime Factors of 127?

The prime factor of 127 is 127.

What is the Greatest Common Factor of 127 and 113?

The factors of 127 are 1, 127 and the factors of 113 are 1, 113. 127 and 113 have only one common factor which is 1. This implies that 127 and 113 are co-prime.

Hence, the Greatest Common Factor (GCF) of 127 and 113 is 1.

What are the Common Factors of 127 and 49?

Since, the factors of 127 are 1, 127 and factors of 49 are 1, 7, 49. Hence, 127 and 49 have only one common factor which is 1. Therefore, 127 and 49 are co-prime.

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