Factors of 1632 are the list of integers that can be evenly divided into 1632. There are overall 24 factors of 1632, of which 2, 3, 17 are its prime factors. The sum of all factors of 1632 is 4536.

• All Factors of 1632: 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816 and 1632
• Prime Factors of 1632: 2, 3, 17
• Prime Factorization of 1632: 2⁵ × 3¹ × 17¹
• Sum of Factors of 1632: 4536

1.	What Are the Factors of 1632?
2.	Factors of 1632 by Prime Factorization
3.	Factors of 1632 in Pairs
4.	FAQs on Factors of 1632

Factors of 1632 are pairs of those numbers whose products result in 1632. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1632?

To find the factors of 1632, we will have to find the list of numbers that would divide 1632 without leaving any remainder.

• 1632/12 = 136; therefore, 12 is a factor of 1632 and 136 is also a factor of 1632.
• 1632/544 = 3; therefore, 544 is a factor of 1632 and 3 is also a factor of 1632.

Similarly we can find other factors. Hence, the factors of 1632 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 68, 96, 102, 136, 204, 272, 408, 544, 816, 1632.

☛ Also Check:

• Factors of 20 - The factors of 20 are 1, 2, 4, 5, 10, 20
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
• Factors of 99 - The factors of 99 are 1, 3, 9, 11, 33, 99
• Factors of 9 - The factors of 9 are 1, 3, 9

The number 1632 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1632. The first step is to divide the number 1632 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1632 ÷ 2 = 816
• 816 ÷ 2 = 408
• 408 ÷ 2 = 204
• 204 ÷ 2 = 102
• 102 ÷ 2 = 51

Further dividing 51 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 51 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 1632 can be written as 2⁵ × 3¹ × 17¹ where 2, 3, 17 are prime.

Pair factors of 1632 are the pairs of numbers that when multiplied give the product 1632. The factors of 1632 in pairs are:

• 1 × 1632 = (1, 1632)
• 2 × 816 = (2, 816)
• 3 × 544 = (3, 544)
• 4 × 408 = (4, 408)
• 6 × 272 = (6, 272)
• 8 × 204 = (8, 204)
• 12 × 136 = (12, 136)
• 16 × 102 = (16, 102)
• 17 × 96 = (17, 96)
• 24 × 68 = (24, 68)
• 32 × 51 = (32, 51)
• 34 × 48 = (34, 48)

Negative pair factors of 1632 are:

• -1 × -1632 = (-1, -1632)
• -2 × -816 = (-2, -816)
• -3 × -544 = (-3, -544)
• -4 × -408 = (-4, -408)
• -6 × -272 = (-6, -272)
• -8 × -204 = (-8, -204)
• -12 × -136 = (-12, -136)
• -16 × -102 = (-16, -102)
• -17 × -96 = (-17, -96)
• -24 × -68 = (-24, -68)
• -32 × -51 = (-32, -51)
• -34 × -48 = (-34, -48)

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