Factors of 357 are integers that can be divided evenly into 357. There are overall 8 factors of 357 among which 357 is the biggest factor and 1, 3, 7, 17, 21, 51, 119, 357 are positive factors. The sum of all factors of 357 is 576. Its Prime Factors are 3 × 7 × 17 and (1, 357), (3, 119), (7, 51), (17, 21) are Pair Factors.

• All Factors of 357: 1, 3, 7, 17, 21, 51, 119 and 357
• Negative Factors of 357: -1, -3, -7, -17, -21, -51, -119 and -357
• Prime Factors of 357: 3, 7, 17
• Prime Factorization of 357: 3¹ × 7¹ × 17¹
• Sum of Factors of 357: 576

1.	What Are the Factors of 357?
2.	Factors of 357 by Prime Factorization
3.	Factors of 357 in Pairs
4.	FAQs on Factors of 357

Factors of 357 are pairs of those numbers whose products result in 357. These factors are either prime numbers or composite numbers.

How to Find the Factors of 357?

To find the factors of 357, we will have to find the list of numbers that would divide 357 without leaving any remainder.

• 357/21 = 17; therefore, 21 is a factor of 357 and 17 is also a factor of 357.
• 357/119 = 3; therefore, 119 is a factor of 357 and 3 is also a factor of 357.

Similarly we can find other factors. Hence, the factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357.

☛ Also Check:

• Factors of 45 - The factors of 45 are 1, 3, 5, 9, 15, 45
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
• Factors of 49 - The factors of 49 are 1, 7, 49
• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20

The number 357 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 357. The first step is to divide the number 357 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 357 ÷ 3 = 119

Further dividing 119 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 119 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 357 can be written as 3¹ × 7¹ × 17¹ where 3, 7, 17 are prime.

Pair factors of 357 are the pairs of numbers that when multiplied give the product 357. The factors of 357 in pairs are:

• 1 × 357 = (1, 357)
• 3 × 119 = (3, 119)
• 7 × 51 = (7, 51)
• 17 × 21 = (17, 21)

Negative pair factors of 357 are:

• -1 × -357 = (-1, -357)
• -3 × -119 = (-3, -119)
• -7 × -51 = (-7, -51)
• -17 × -21 = (-17, -21)

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