Factor Calculator

Factors of 1056

The factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, and 1056. In total, 1056 has 24 factors. Its prime factorization is 2⁵ × 3 × 11, and the sum of all its factors is 3024.

All factors of 1056

Here are all 24 factors of 1056, listed from smallest to largest.

1234681112162224323344486688961321762643525281056

Factor pairs of 1056

These 12 pairs of whole numbers each multiply to give 1056.

1 × 1056 = 1056
2 × 528 = 1056
3 × 352 = 1056
4 × 264 = 1056
6 × 176 = 1056
8 × 132 = 1056
11 × 96 = 1056
12 × 88 = 1056
16 × 66 = 1056
22 × 48 = 1056
24 × 44 = 1056
32 × 33 = 1056

Prime factorization of 1056

Dividing 1056 by the smallest prime at each step gives its prime factorization:

1056 ÷ 2 = 528
528 ÷ 2 = 264
264 ÷ 2 = 132
132 ÷ 2 = 66
66 ÷ 2 = 33
33 ÷ 3 = 11
11 ÷ 11 = 1
Result: 1056 = 2 × 2 × 2 × 2 × 2 × 3 × 11 = 2⁵ × 3 × 11

The distinct prime factors of 1056 are 2, 3, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 1056

A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.

Factor tree of 10561056252822642132266233311
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1056

Number of factors24
Sum of factors3024
Sum of proper factors1968
Prime factorization2⁵ × 3 × 11
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 1056 interesting

  • 1056 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 12 different ways.
  • 1056 is an abundant number: its proper factors sum to 1968, which is 912 more than 1056 itself.
  • 1056 has 3 distinct prime factors (2, 3, 11), which is why it has so many divisors.

How to find the factors of 1056 yourself

Divide 1056 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √1056 ≈ 32.50, because every factor above that pairs with one below it.

1056 ÷ 1 = 1056 ✓
1056 ÷ 2 = 528 ✓
1056 ÷ 3 = 352 ✓
1056 ÷ 4 = 264 ✓
1056 ÷ 6 = 176 ✓
1056 ÷ 8 = 132 ✓
1056 ÷ 11 = 96 ✓
1056 ÷ 12 = 88 ✓
1056 ÷ 16 = 66 ✓
1056 ÷ 22 = 48 ✓
1056 ÷ 24 = 44 ✓
1056 ÷ 32 = 33 ✓

Reading both columns gives every factor: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, 1056. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1056.

Frequently asked questions about 1056

What are the factors of 1056?

The factors of 1056 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, and 1056. That is 24 factors in total, counting both 1 and 1056.

Is 1056 a prime number?

No, 1056 is not prime — it is a composite number with 24 factors. A prime number has exactly two factors, but 1056 is also divisible by 2.

What is the prime factorization of 1056?

The prime factorization of 1056 is 2⁵ × 3 × 11. Written out in full: 2 × 2 × 2 × 2 × 2 × 3 × 11 = 1056. Its distinct prime factors are 2, 3, 11.

What two numbers multiply to give 1056?

There are 12 pairs of whole numbers that multiply to 1056: 1 × 1056, 2 × 528, 3 × 352, 4 × 264, 6 × 176, 8 × 132, 11 × 96, 12 × 88, 16 × 66, 22 × 48, 24 × 44, 32 × 33.

What is the sum of the factors of 1056?

Adding all the factors of 1056 together gives 3024. Excluding 1056 itself, the proper factors sum to 1968.

Is 1056 a perfect square?

No, 1056 is not a perfect square. There is no whole number that multiplies by itself to give 1056. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1056 other than itself?

The largest factor of 1056 apart from 1056 itself is 528, since 1056 ÷ 528 = 2.

How many factors does 1056 have?

1056 has 24 factors: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 88, 96, 132, 176, 264, 352, 528, and 1056. You can verify this from the prime factorization 2⁵ × 3 × 11: add 1 to each exponent and multiply, giving 6 × 2 × 2 = 24.

Explore more

Try another number in the factor calculator, break 1056 down further with the prime factorization calculator, or compare 1056 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.