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Factors of 167

Factors of 167 are the list of integers that we can split evenly into 167. It has a total of 2 factors of which 167 is the biggest factor and the positive factors of 167 are 1, 167. The Pair Factors of 167 are (1, 167) and its Prime Factors is 167.

All Factors of 167: 1 and 167
Negative Factors of 167: -1 and -167
Prime Factors of 167: 167
Prime Factorization of 167: 167¹
Sum of Factors of 167: 168

1.	What Are the Factors of 167?
2.	Factors of 167 by Prime Factorization
3.	Factors of 167 in Pairs
4.	FAQs on Factors of 167

What are Factors of 167?

Factors of 167 are pairs of those numbers whose products result in 167. These factors are either prime numbers or composite numbers.

How to Find the Factors of 167?

To find the factors of 167, we will have to find the list of numbers that would divide 167 without leaving any remainder.

167/1 = 167; therefore, 1 is a factor of 167.
167/167 = 1; therefore, 167 is a factor of 167.

Hence, the factors of 167 are 1, 167.

☛ Also Check:

Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
Factors of 37 - The factors of 37 are 1, 37
Factors of 39 - The factors of 39 are 1, 3, 13, 39
Factors of 9 - The factors of 9 are 1, 3, 9
Factors of 27 - The factors of 27 are 1, 3, 9, 27

Factors of 167 by Prime Factorization

The number 167 is prime and therefore its factors are only the numbers 1 and 167 itself. Hence, it has only one prime factor that is the number itself, i.e. 167.

So, the prime factorization of 167 can be written as 167¹ where 167 is prime.

Factors of 167 in Pairs

Pair factors of 167 are the pairs of numbers that when multiplied give the product 167. The factors of 167 in pairs are:

1 × 167 = (1, 167)

Negative pair factors of 167 are:

-1 × -167 = (-1, -167)

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

Factors of 167 Solved Examples

Example 1: How many factors are there for 167?

Solution:

The factors of 167 are 1, 167. Therefore, 167 has 2 factors.
Example 2: Find the Least Common Multiple (LCM) and Greatest Common Factor (GCF) of 167 and 105.

Solution:

The factors of 167 are 1, 167 and factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105.

Therefore, the Least Common Multiple (LCM) of 167 and 105 is 17535 and Greatest Common Factor (GCF) of 167 and 105 is 1.
Example 3: Find if 1 and 62 are factors of 167.

Solution:

When we divide 167 by 62 it leaves a remainder. Therefore, the number 62 is not a factor of 167. All numbers except 62 are factors of 167.
Example 4: Find the product of all the factors of 167.

Solution:

Since, the factors of 167 are 1, 167. Therefore, the product of factors = 1 × 167 = 167.

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FAQs on Factors of 167

What are the Factors of 167?

The factors of 167 are 1, 167 and its negative factors are -1, -167.

What is the Sum of all the Factors of 167?

Since, all factors of 167 are 1, 167 therefore, the sum of its factors is 1 + 167 = 168.

What numbers are the Pair Factors of 167?

The pair factors of 167 are (1, 167).

What is the Greatest Common Factor of 167 and 41?

The factors of 167 are 1, 167 and the factors of 41 are 1, 41. 167 and 41 have only one common factor which is 1. This implies that 167 and 41 are co-prime.

Hence, the Greatest Common Factor (GCF) of 167 and 41 is 1.

What are the Common Factors of 167 and 107?

Since, the factors of 167 are 1, 167 and factors of 107 are 1, 107. Hence, 167 and 107 have only one common factor which is 1. Therefore, 167 and 107 are co-prime.

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