Factors of 756 are the list of integers that we can split evenly into 756. It has total 24 factors of which 756 is the biggest factor and the prime factors of 756 are 2, 3, 7. The Prime Factorization of 756 is 2² × 3³ × 7¹.

• All Factors of 756: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378 and 756
• Prime Factors of 756: 2, 3, 7
• Prime Factorization of 756: 2² × 3³ × 7¹
• Sum of Factors of 756: 2240

1.	What Are the Factors of 756?
2.	Factors of 756 by Prime Factorization
3.	Factors of 756 in Pairs
4.	FAQs on Factors of 756

Factors of 756 are pairs of those numbers whose products result in 756. These factors are either prime numbers or composite numbers.

How to Find the Factors of 756?

To find the factors of 756, we will have to find the list of numbers that would divide 756 without leaving any remainder.

• 756/3 = 252; therefore, 3 is a factor of 756 and 252 is also a factor of 756.
• 756/9 = 84; therefore, 9 is a factor of 756 and 84 is also a factor of 756.

Similarly we can find other factors. Hence, the factors of 756 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756.

☛ Also Check:

• Factors of 12 - The factors of 12 are 1, 2, 3, 4, 6, 12
• Factors of 41 - The factors of 41 are 1, 41
• Factors of 35 - The factors of 35 are 1, 5, 7, 35
• Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
• Factors of 91 - The factors of 91 are 1, 7, 13, 91

The number 756 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 756. The first step is to divide the number 756 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 756 ÷ 2 = 378
• 378 ÷ 2 = 189

Further dividing 189 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 189 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 756 can be written as 2² × 3³ × 7¹ where 2, 3, 7 are prime.

Pair factors of 756 are the pairs of numbers that when multiplied give the product 756. The factors of 756 in pairs are:

• 1 × 756 = (1, 756)
• 2 × 378 = (2, 378)
• 3 × 252 = (3, 252)
• 4 × 189 = (4, 189)
• 6 × 126 = (6, 126)
• 7 × 108 = (7, 108)
• 9 × 84 = (9, 84)
• 12 × 63 = (12, 63)
• 14 × 54 = (14, 54)
• 18 × 42 = (18, 42)
• 21 × 36 = (21, 36)
• 27 × 28 = (27, 28)

Negative pair factors of 756 are:

• -1 × -756 = (-1, -756)
• -2 × -378 = (-2, -378)
• -3 × -252 = (-3, -252)
• -4 × -189 = (-4, -189)
• -6 × -126 = (-6, -126)
• -7 × -108 = (-7, -108)
• -9 × -84 = (-9, -84)
• -12 × -63 = (-12, -63)
• -14 × -54 = (-14, -54)
• -18 × -42 = (-18, -42)
• -21 × -36 = (-21, -36)
• -27 × -28 = (-27, -28)

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