Factors of 672 are the list of integers that can be evenly divided into 672. There are total 24 factors of 672, of which 2, 3, 7 are its prime factors. The Prime Factorization of 672 is 2⁵ × 3¹ × 7¹.

• All Factors of 672: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336 and 672
• Prime Factors of 672: 2, 3, 7
• Prime Factorization of 672: 2⁵ × 3¹ × 7¹
• Sum of Factors of 672: 2016

1.	What Are the Factors of 672?
2.	Factors of 672 by Prime Factorization
3.	Factors of 672 in Pairs
4.	FAQs on Factors of 672

Factors of 672 are pairs of those numbers whose products result in 672. These factors are either prime numbers or composite numbers.

How to Find the Factors of 672?

To find the factors of 672, we will have to find the list of numbers that would divide 672 without leaving any remainder.

• 672/3 = 224; therefore, 3 is a factor of 672 and 224 is also a factor of 672.
• 672/56 = 12; therefore, 56 is a factor of 672 and 12 is also a factor of 672.

Similarly we can find other factors. Hence, the factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672.

☛ Also Check:

• Factors of 11 - The factors of 11 are 1, 11
• Factors of 72 - The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44
• Factors of 24 - The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
• Factors of 4 - The factors of 4 are 1, 2, 4

The number 672 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 672. The first step is to divide the number 672 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 672 ÷ 2 = 336
• 336 ÷ 2 = 168
• 168 ÷ 2 = 84
• 84 ÷ 2 = 42
• 42 ÷ 2 = 21

Further dividing 21 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 21 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 672 can be written as 2⁵ × 3¹ × 7¹ where 2, 3, 7 are prime.

Pair factors of 672 are the pairs of numbers that when multiplied give the product 672. The factors of 672 in pairs are:

• 1 × 672 = (1, 672)
• 2 × 336 = (2, 336)
• 3 × 224 = (3, 224)
• 4 × 168 = (4, 168)
• 6 × 112 = (6, 112)
• 7 × 96 = (7, 96)
• 8 × 84 = (8, 84)
• 12 × 56 = (12, 56)
• 14 × 48 = (14, 48)
• 16 × 42 = (16, 42)
• 21 × 32 = (21, 32)
• 24 × 28 = (24, 28)

Negative pair factors of 672 are:

• -1 × -672 = (-1, -672)
• -2 × -336 = (-2, -336)
• -3 × -224 = (-3, -224)
• -4 × -168 = (-4, -168)
• -6 × -112 = (-6, -112)
• -7 × -96 = (-7, -96)
• -8 × -84 = (-8, -84)
• -12 × -56 = (-12, -56)
• -14 × -48 = (-14, -48)
• -16 × -42 = (-16, -42)
• -21 × -32 = (-21, -32)
• -24 × -28 = (-24, -28)

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