Factors of 351 are numbers that, when multiplied in pairs give the product as 351. There are total 8 factors of 351 i.e. 1, 3, 9, 13, 27, 39, 117, 351. The Prime Factors and Pair Factors of 351 are 3 × 13 and (1, 351), (3, 117), (9, 39), (13, 27) respectively.

• All Factors of 351: 1, 3, 9, 13, 27, 39, 117 and 351
• Negative Factors of 351: -1, -3, -9, -13, -27, -39, -117 and -351
• Prime Factors of 351: 3, 13
• Prime Factorization of 351: 3³ × 13¹
• Sum of Factors of 351: 560

1.	What Are the Factors of 351?
2.	Factors of 351 by Prime Factorization
3.	Factors of 351 in Pairs
4.	FAQs on Factors of 351

Factors of 351 are pairs of those numbers whose products result in 351. These factors are either prime numbers or composite numbers.

How to Find the Factors of 351?

To find the factors of 351, we will have to find the list of numbers that would divide 351 without leaving any remainder.

• 351/117 = 3; therefore, 117 is a factor of 351 and 3 is also a factor of 351.
• 351/13 = 27; therefore, 13 is a factor of 351 and 27 is also a factor of 351.

Similarly we can find other factors. Hence, the factors of 351 are 1, 3, 9, 13, 27, 39, 117, 351.

☛ Also Check:

• Factors of 11 - The factors of 11 are 1, 11
• Factors of 23 - The factors of 23 are 1, 23
• Factors of 57 - The factors of 57 are 1, 3, 19, 57
• Factors of 35 - The factors of 35 are 1, 5, 7, 35
• Factors of 65 - The factors of 65 are 1, 5, 13, 65

The number 351 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 351. The first step is to divide the number 351 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 351 ÷ 3 = 117
• 117 ÷ 3 = 39
• 39 ÷ 3 = 13

Further dividing 13 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 13 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 351 can be written as 3³ × 13¹ where 3, 13 are prime.

Pair factors of 351 are the pairs of numbers that when multiplied give the product 351. The factors of 351 in pairs are:

• 1 × 351 = (1, 351)
• 3 × 117 = (3, 117)
• 9 × 39 = (9, 39)
• 13 × 27 = (13, 27)

Negative pair factors of 351 are:

• -1 × -351 = (-1, -351)
• -3 × -117 = (-3, -117)
• -9 × -39 = (-9, -39)
• -13 × -27 = (-13, -27)

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