Factor Calculator

Factors of 1012

The factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, and 1012. In total, 1012 has 12 factors. Its prime factorization is 2² × 11 × 23, and the sum of all its factors is 2016.

All factors of 1012

Here are all 12 factors of 1012, listed from smallest to largest.

1241122234446922535061012

Factor pairs of 1012

These 6 pairs of whole numbers each multiply to give 1012.

1 × 1012 = 1012
2 × 506 = 1012
4 × 253 = 1012
11 × 92 = 1012
22 × 46 = 1012
23 × 44 = 1012

Prime factorization of 1012

Dividing 1012 by the smallest prime at each step gives its prime factorization:

1012 ÷ 2 = 506
506 ÷ 2 = 253
253 ÷ 11 = 23
23 ÷ 23 = 1
Result: 1012 = 2 × 2 × 11 × 23 = 2² × 11 × 23

The distinct prime factors of 1012 are 2, 11, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 1012

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

Factor tree of 10121012250622531123
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1012

Number of factors12
Sum of factors2016
Sum of proper factors1004
Prime factorization2² × 11 × 23
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1012 interesting

  • 1012 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 6 different ways.
  • 1012 is a deficient number: its proper factors sum to 1004, which is 8 less than 1012 itself.
  • 1012 has 3 distinct prime factors (2, 11, 23), which is why it has so many divisors.

How to find the factors of 1012 yourself

Divide 1012 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 √1012 ≈ 31.81, because every factor above that pairs with one below it.

1012 ÷ 1 = 1012 ✓
1012 ÷ 2 = 506 ✓
1012 ÷ 4 = 253 ✓
1012 ÷ 11 = 92 ✓
1012 ÷ 22 = 46 ✓
1012 ÷ 23 = 44 ✓

Reading both columns gives every factor: 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, 1012. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1012.

Frequently asked questions about 1012

What are the factors of 1012?

The factors of 1012 are 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, and 1012. That is 12 factors in total, counting both 1 and 1012.

Is 1012 a prime number?

No, 1012 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 1012 is also divisible by 2.

What is the prime factorization of 1012?

The prime factorization of 1012 is 2² × 11 × 23. Written out in full: 2 × 2 × 11 × 23 = 1012. Its distinct prime factors are 2, 11, 23.

What two numbers multiply to give 1012?

There are 6 pairs of whole numbers that multiply to 1012: 1 × 1012, 2 × 506, 4 × 253, 11 × 92, 22 × 46, 23 × 44.

What is the sum of the factors of 1012?

Adding all the factors of 1012 together gives 2016. Excluding 1012 itself, the proper factors sum to 1004.

Is 1012 a perfect square?

No, 1012 is not a perfect square. There is no whole number that multiplies by itself to give 1012. The nearest perfect squares are 961 and 1024.

What is the largest factor of 1012 other than itself?

The largest factor of 1012 apart from 1012 itself is 506, since 1012 ÷ 506 = 2.

How many factors does 1012 have?

1012 has 12 factors: 1, 2, 4, 11, 22, 23, 44, 46, 92, 253, 506, and 1012. You can verify this from the prime factorization 2² × 11 × 23: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 1012 down further with the prime factorization calculator, or compare 1012 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.