Factors of 352 are numbers that, when multiplied in pairs give the product as 352. There are 12 factors of 352 of which 352 itself is the biggest factor and its prime factors are 2, 11 The Prime Factorization of 352 is 2⁵ × 11¹.

• All Factors of 352: 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176 and 352
• Prime Factors of 352: 2, 11
• Prime Factorization of 352: 2⁵ × 11¹
• Sum of Factors of 352: 756

1.	What Are the Factors of 352?
2.	Factors of 352 by Prime Factorization
3.	Factors of 352 in Pairs
4.	FAQs on Factors of 352

Factors of 352 are pairs of those numbers whose products result in 352. These factors are either prime numbers or composite numbers.

How to Find the Factors of 352?

To find the factors of 352, we will have to find the list of numbers that would divide 352 without leaving any remainder.

• 352/88 = 4; therefore, 88 is a factor of 352 and 4 is also a factor of 352.
• 352/11 = 32; therefore, 11 is a factor of 352 and 32 is also a factor of 352.

Similarly we can find other factors. Hence, the factors of 352 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352.

☛ Also Check:

• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 121 - The factors of 121 are 1, 11, 121
• Factors of 35 - The factors of 35 are 1, 5, 7, 35

The number 352 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 352. The first step is to divide the number 352 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 352 ÷ 2 = 176
• 176 ÷ 2 = 88
• 88 ÷ 2 = 44
• 44 ÷ 2 = 22
• 22 ÷ 2 = 11

Further dividing 11 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 11 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 352 can be written as 2⁵ × 11¹ where 2, 11 are prime.

Pair factors of 352 are the pairs of numbers that when multiplied give the product 352. The factors of 352 in pairs are:

• 1 × 352 = (1, 352)
• 2 × 176 = (2, 176)
• 4 × 88 = (4, 88)
• 8 × 44 = (8, 44)
• 11 × 32 = (11, 32)
• 16 × 22 = (16, 22)

Negative pair factors of 352 are:

• -1 × -352 = (-1, -352)
• -2 × -176 = (-2, -176)
• -4 × -88 = (-4, -88)
• -8 × -44 = (-8, -44)
• -11 × -32 = (-11, -32)
• -16 × -22 = (-16, -22)

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