Factors of 832 are the list of integers that can be evenly divided into 832. There are overall 14 factors of 832 among which 832 is the biggest factor and its prime factors are 2, 13. The Prime Factorization of 832 is 2⁶ × 13¹.

• All Factors of 832: 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416 and 832
• Prime Factors of 832: 2, 13
• Prime Factorization of 832: 2⁶ × 13¹
• Sum of Factors of 832: 1778

1.	What Are the Factors of 832?
2.	Factors of 832 by Prime Factorization
3.	Factors of 832 in Pairs
4.	FAQs on Factors of 832

Factors of 832 are pairs of those numbers whose products result in 832. These factors are either prime numbers or composite numbers.

How to Find the Factors of 832?

To find the factors of 832, we will have to find the list of numbers that would divide 832 without leaving any remainder.

• 832/832 = 1; therefore, 832 is a factor of 832.
• 832/32 = 26; therefore, 32 is a factor of 832.

Similarly we can find other factors. Hence, the factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832.

☛ Also Check:

• Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
• Factors of 100 - The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 5 - The factors of 5 are 1, 5
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99

The number 832 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 832. The first step is to divide the number 832 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 832 ÷ 2 = 416
• 416 ÷ 2 = 208
• 208 ÷ 2 = 104
• 104 ÷ 2 = 52
• 52 ÷ 2 = 26
• 26 ÷ 2 = 13

Further dividing 13 by 2 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 832 can be written as 2⁶ × 13¹ where 2, 13 are prime.

Pair factors of 832 are the pairs of numbers that when multiplied give the product 832. The factors of 832 in pairs are:

• 1 × 832 = (1, 832)
• 2 × 416 = (2, 416)
• 4 × 208 = (4, 208)
• 8 × 104 = (8, 104)
• 13 × 64 = (13, 64)
• 16 × 52 = (16, 52)
• 26 × 32 = (26, 32)

Negative pair factors of 832 are:

• -1 × -832 = (-1, -832)
• -2 × -416 = (-2, -416)
• -4 × -208 = (-4, -208)
• -8 × -104 = (-8, -104)
• -13 × -64 = (-13, -64)
• -16 × -52 = (-16, -52)
• -26 × -32 = (-26, -32)

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