Factors of 356 are the list of integers that we can split evenly into 356. There are overall 6 factors of 356 among which 356 is the biggest factor and its positive factors are 1, 2, 4, 89, 178, 356. The Pair Factors of 356 are (1, 356), (2, 178), (4, 89) and its Prime Factors are 2 × 89.

• All Factors of 356: 1, 2, 4, 89, 178 and 356
• Negative Factors of 356: -1, -2, -4, -89, -178 and -356
• Prime Factors of 356: 2, 89
• Prime Factorization of 356: 2² × 89¹
• Sum of Factors of 356: 630

1.	What Are the Factors of 356?
2.	Factors of 356 by Prime Factorization
3.	Factors of 356 in Pairs
4.	FAQs on Factors of 356

Factors of 356 are pairs of those numbers whose products result in 356. These factors are either prime numbers or composite numbers.

How to Find the Factors of 356?

To find the factors of 356, we will have to find the list of numbers that would divide 356 without leaving any remainder.

• 356/1 = 356; therefore, 1 is a factor of 356.
• 356/178 = 2; therefore, 178 is a factor of 356.

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

☛ Also Check:

• Factors of 5 - The factors of 5 are 1, 5
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 6 - The factors of 6 are 1, 2, 3, 6

The number 356 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 356. The first step is to divide the number 356 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 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 356 can be written as 2² × 89¹ where 2, 89 are prime.

Pair factors of 356 are the pairs of numbers that when multiplied give the product 356. The factors of 356 in pairs are:

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

Negative pair factors of 356 are:

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

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