Factors of 354 are the list of integers that can be evenly divided into 354. There are 8 factors of 354 of which 354 itself is the biggest factor and its positive factors are 1, 2, 3, 6, 59, 118, 177, 354. The Pair Factors of 354 are (1, 354), (2, 177), (3, 118), (6, 59) and its Prime Factors are 2 × 3 × 59.

• All Factors of 354: 1, 2, 3, 6, 59, 118, 177 and 354
• Negative Factors of 354: -1, -2, -3, -6, -59, -118, -177 and -354
• Prime Factors of 354: 2, 3, 59
• Prime Factorization of 354: 2¹ × 3¹ × 59¹
• Sum of Factors of 354: 720

1.	What Are the Factors of 354?
2.	Factors of 354 by Prime Factorization
3.	Factors of 354 in Pairs
4.	FAQs on Factors of 354

Factors of 354 are pairs of those numbers whose products result in 354. These factors are either prime numbers or composite numbers.

How to Find the Factors of 354?

To find the factors of 354, we will have to find the list of numbers that would divide 354 without leaving any remainder.

• 354/3 = 118; therefore, 3 is a factor of 354 and 118 is also a factor of 354.
• 354/177 = 2; therefore, 177 is a factor of 354 and 2 is also a factor of 354.

Similarly we can find other factors. Hence, the factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354.

☛ Also Check:

• Factors of 65 - The factors of 65 are 1, 5, 13, 65
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 31 - The factors of 31 are 1, 31
• Factors of 22 - The factors of 22 are 1, 2, 11, 22
• Factors of 37 - The factors of 37 are 1, 37

The number 354 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 354. The first step is to divide the number 354 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 354 ÷ 2 = 177

Further dividing 177 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 177 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 354 can be written as 2¹ × 3¹ × 59¹ where 2, 3, 59 are prime.

Pair factors of 354 are the pairs of numbers that when multiplied give the product 354. The factors of 354 in pairs are:

• 1 × 354 = (1, 354)
• 2 × 177 = (2, 177)
• 3 × 118 = (3, 118)
• 6 × 59 = (6, 59)

Negative pair factors of 354 are:

• -1 × -354 = (-1, -354)
• -2 × -177 = (-2, -177)
• -3 × -118 = (-3, -118)
• -6 × -59 = (-6, -59)

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