Factors of 668 are the list of integers that can be evenly divided into 668. There are 6 factors of 668 of which 668 itself is the biggest factor and its positive factors are 1, 2, 4, 167, 334, 668. The Prime Factors and Pair Factors of 668 are 2 × 167 and (1, 668), (2, 334), (4, 167) respectively.

• All Factors of 668: 1, 2, 4, 167, 334 and 668
• Negative Factors of 668: -1, -2, -4, -167, -334 and -668
• Prime Factors of 668: 2, 167
• Prime Factorization of 668: 2² × 167¹
• Sum of Factors of 668: 1176

1.	What Are the Factors of 668?
2.	Factors of 668 by Prime Factorization
3.	Factors of 668 in Pairs
4.	FAQs on Factors of 668

Factors of 668 are pairs of those numbers whose products result in 668. These factors are either prime numbers or composite numbers.

How to Find the Factors of 668?

To find the factors of 668, we will have to find the list of numbers that would divide 668 without leaving any remainder.

• 668/2 = 334; therefore, 2 is a factor of 668 and 334 is also a factor of 668.
• 668/167 = 4; therefore, 167 is a factor of 668 and 4 is also a factor of 668.

Similarly we can find other factors. Hence, the factors of 668 are 1, 2, 4, 167, 334, 668.

☛ Also Check:

• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 22 - The factors of 22 are 1, 2, 11, 22
• Factors of 17 - The factors of 17 are 1, 17
• Factors of 23 - The factors of 23 are 1, 23
• Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The number 668 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 668. The first step is to divide the number 668 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 668 ÷ 2 = 334
• 334 ÷ 2 = 167

Further dividing 167 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 167 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 668 can be written as 2² × 167¹ where 2, 167 are prime.

Pair factors of 668 are the pairs of numbers that when multiplied give the product 668. The factors of 668 in pairs are:

• 1 × 668 = (1, 668)
• 2 × 334 = (2, 334)
• 4 × 167 = (4, 167)

Negative pair factors of 668 are:

• -1 × -668 = (-1, -668)
• -2 × -334 = (-2, -334)
• -4 × -167 = (-4, -167)

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