Factors of 1152 are the list of integers that we can split evenly into 1152. It has total 24 factors of which 1152 is the biggest factor and the prime factors of 1152 are 2, 3. The Prime Factorization of 1152 is 2⁷ × 3².

• All Factors of 1152: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576 and 1152
• Prime Factors of 1152: 2, 3
• Prime Factorization of 1152: 2⁷ × 3²
• Sum of Factors of 1152: 3315

1.	What Are the Factors of 1152?
2.	Factors of 1152 by Prime Factorization
3.	Factors of 1152 in Pairs
4.	FAQs on Factors of 1152

Factors of 1152 are pairs of those numbers whose products result in 1152. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1152?

To find the factors of 1152, we will have to find the list of numbers that would divide 1152 without leaving any remainder.

• 1152/384 = 3; therefore, 384 is a factor of 1152 and 3 is also a factor of 1152.
• 1152/9 = 128; therefore, 9 is a factor of 1152 and 128 is also a factor of 1152.

Similarly we can find other factors. Hence, the factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152.

☛ Also Check:

• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 44 - The factors of 44 are 1, 2, 4, 11, 22, 44
• Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
• Factors of 32 - The factors of 32 are 1, 2, 4, 8, 16, 32
• Factors of 51 - The factors of 51 are 1, 3, 17, 51

The number 1152 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1152. The first step is to divide the number 1152 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 1152 ÷ 2 = 576
• 576 ÷ 2 = 288
• 288 ÷ 2 = 144
• 144 ÷ 2 = 72
• 72 ÷ 2 = 36
• 36 ÷ 2 = 18
• 18 ÷ 2 = 9

Further dividing 9 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 9 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 1152 can be written as 2⁷ × 3² where 2, 3 are prime.

Pair factors of 1152 are the pairs of numbers that when multiplied give the product 1152. The factors of 1152 in pairs are:

• 1 × 1152 = (1, 1152)
• 2 × 576 = (2, 576)
• 3 × 384 = (3, 384)
• 4 × 288 = (4, 288)
• 6 × 192 = (6, 192)
• 8 × 144 = (8, 144)
• 9 × 128 = (9, 128)
• 12 × 96 = (12, 96)
• 16 × 72 = (16, 72)
• 18 × 64 = (18, 64)
• 24 × 48 = (24, 48)
• 32 × 36 = (32, 36)

Negative pair factors of 1152 are:

• -1 × -1152 = (-1, -1152)
• -2 × -576 = (-2, -576)
• -3 × -384 = (-3, -384)
• -4 × -288 = (-4, -288)
• -6 × -192 = (-6, -192)
• -8 × -144 = (-8, -144)
• -9 × -128 = (-9, -128)
• -12 × -96 = (-12, -96)
• -16 × -72 = (-16, -72)
• -18 × -64 = (-18, -64)
• -24 × -48 = (-24, -48)
• -32 × -36 = (-32, -36)

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