Factors of 712 are the list of integers that we can split evenly into 712. There are overall 8 factors of 712 among which 712 is the biggest factor and its positive factors are 1, 2, 4, 8, 89, 178, 356, 712. The Prime Factors and Pair Factors of 712 are 2 × 89 and (1, 712), (2, 356), (4, 178), (8, 89) respectively.

• All Factors of 712: 1, 2, 4, 8, 89, 178, 356 and 712
• Negative Factors of 712: -1, -2, -4, -8, -89, -178, -356 and -712
• Prime Factors of 712: 2, 89
• Prime Factorization of 712: 2³ × 89¹
• Sum of Factors of 712: 1350

1.	What Are the Factors of 712?
2.	Factors of 712 by Prime Factorization
3.	Factors of 712 in Pairs
4.	FAQs on Factors of 712

Factors of 712 are pairs of those numbers whose products result in 712. These factors are either prime numbers or composite numbers.

How to Find the Factors of 712?

To find the factors of 712, we will have to find the list of numbers that would divide 712 without leaving any remainder.

• 712/356 = 2; therefore, 356 is a factor of 712 and 2 is also a factor of 712.
• 712/178 = 4; therefore, 178 is a factor of 712 and 4 is also a factor of 712.

Similarly we can find other factors. Hence, the factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712.

☛ Also Check:

• Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44
• Factors of 41 - The factors of 41 are 1, 41
• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 10 - The factors of 10 are 1, 2, 5, 10
• Factors of 55 - The factors of 55 are 1, 5, 11, 55

The number 712 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 712. The first step is to divide the number 712 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 712 ÷ 2 = 356
• 356 ÷ 2 = 178
• 178 ÷ 2 = 89

Further dividing 89 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 89 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 712 can be written as 2³ × 89¹ where 2, 89 are prime.

Pair factors of 712 are the pairs of numbers that when multiplied give the product 712. The factors of 712 in pairs are:

• 1 × 712 = (1, 712)
• 2 × 356 = (2, 356)
• 4 × 178 = (4, 178)
• 8 × 89 = (8, 89)

Negative pair factors of 712 are:

• -1 × -712 = (-1, -712)
• -2 × -356 = (-2, -356)
• -4 × -178 = (-4, -178)
• -8 × -89 = (-8, -89)

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