Factors of 667 are the list of integers that we can split evenly into 667. There are 4 factors of 667 of which 667 itself is the biggest factor and its positive factors are 1, 23, 29, 667. The sum of all factors of 667 is 720 and its factors in Pairs are (1, 667), (23, 29).

• All Factors of 667: 1, 23, 29 and 667
• Negative Factors of 667: -1, -23, -29 and -667
• Prime Factors of 667: 23, 29
• Prime Factorization of 667: 23¹ × 29¹
• Sum of Factors of 667: 720

1.	What Are the Factors of 667?
2.	Factors of 667 by Prime Factorization
3.	Factors of 667 in Pairs
4.	FAQs on Factors of 667

Factors of 667 are pairs of those numbers whose products result in 667. These factors are either prime numbers or composite numbers.

How to Find the Factors of 667?

To find the factors of 667, we will have to find the list of numbers that would divide 667 without leaving any remainder.

• 667/23 = 29; therefore, 23 is a factor of 667 and 29 is also a factor of 667.
• 667/1 = 667; therefore, 1 is a factor of 667 and 667 is also a factor of 667.

Similarly we can find other factors. Hence, the factors of 667 are 1, 23, 29, 667.

☛ Also Check:

• Factors of 57 - The factors of 57 are 1, 3, 19, 57
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 19 - The factors of 19 are 1, 19

The number 667 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 667. The first step is to divide the number 667 with the smallest prime factor, here it is 23. We keep dividing until it gives a non-zero remainder.

• 667 ÷ 23 = 29

Further dividing 29 by 23 gives a non-zero remainder. So we stop the process and continue dividing the number 29 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 667 can be written as 23¹ × 29¹ where 23, 29 are prime.

Pair factors of 667 are the pairs of numbers that when multiplied give the product 667. The factors of 667 in pairs are:

• 1 × 667 = (1, 667)
• 23 × 29 = (23, 29)

Negative pair factors of 667 are:

• -1 × -667 = (-1, -667)
• -23 × -29 = (-23, -29)

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