Factors of 392 are integers that can be divided evenly into 392. There are overall 12 factors of 392 among which 392 is the biggest factor and its prime factors are 2, 7. The Prime Factorization of 392 is 2³ × 7².

• All Factors of 392: 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196 and 392
• Prime Factors of 392: 2, 7
• Prime Factorization of 392: 2³ × 7²
• Sum of Factors of 392: 855

1.	What Are the Factors of 392?
2.	Factors of 392 by Prime Factorization
3.	Factors of 392 in Pairs
4.	FAQs on Factors of 392

Factors of 392 are pairs of those numbers whose products result in 392. These factors are either prime numbers or composite numbers.

How to Find the Factors of 392?

To find the factors of 392, we will have to find the list of numbers that would divide 392 without leaving any remainder.

• 392/1 = 392; therefore, 1 is a factor of 392.
• 392/49 = 8; therefore, 49 is a factor of 392.

Similarly we can find other factors. Hence, the factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392.

☛ Also Check:

• Factors of 125 - The factors of 125 are 1, 5, 25, 125
• Factors of 35 - The factors of 35 are 1, 5, 7, 35
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 121 - The factors of 121 are 1, 11, 121
• Factors of 29 - The factors of 29 are 1, 29

The number 392 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 392. The first step is to divide the number 392 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 392 ÷ 2 = 196
• 196 ÷ 2 = 98
• 98 ÷ 2 = 49

Further dividing 49 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 49 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 392 can be written as 2³ × 7² where 2, 7 are prime.

Pair factors of 392 are the pairs of numbers that when multiplied give the product 392. The factors of 392 in pairs are:

• 1 × 392 = (1, 392)
• 2 × 196 = (2, 196)
• 4 × 98 = (4, 98)
• 7 × 56 = (7, 56)
• 8 × 49 = (8, 49)
• 14 × 28 = (14, 28)

Negative pair factors of 392 are:

• -1 × -392 = (-1, -392)
• -2 × -196 = (-2, -196)
• -4 × -98 = (-4, -98)
• -7 × -56 = (-7, -56)
• -8 × -49 = (-8, -49)
• -14 × -28 = (-14, -28)

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