Factor Calculator

Factors of 1016

The factors of 1016 are 1, 2, 4, 8, 127, 254, 508, and 1016. In total, 1016 has 8 factors. Its prime factorization is 2³ × 127, and the sum of all its factors is 1920.

All factors of 1016

Here are all 8 factors of 1016, listed from smallest to largest.

12481272545081016

Factor pairs of 1016

These 4 pairs of whole numbers each multiply to give 1016.

1 × 1016 = 1016
2 × 508 = 1016
4 × 254 = 1016
8 × 127 = 1016

Prime factorization of 1016

Dividing 1016 by the smallest prime at each step gives its prime factorization:

1016 ÷ 2 = 508
508 ÷ 2 = 254
254 ÷ 2 = 127
127 ÷ 127 = 1
Result: 1016 = 2 × 2 × 2 × 127 = 2³ × 127

The distinct prime factors of 1016 are 2, 127. To factorize any other number, use the prime factorization calculator.

Factor tree of 1016

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

Factor tree of 10161016250822542127
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1016

Number of factors8
Sum of factors1920
Sum of proper factors904
Prime factorization2³ × 127
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1016 interesting

  • 1016 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
  • 1016 is a deficient number: its proper factors sum to 904, which is 112 less than 1016 itself.

How to find the factors of 1016 yourself

Divide 1016 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 √1016 ≈ 31.87, because every factor above that pairs with one below it.

1016 ÷ 1 = 1016 ✓
1016 ÷ 2 = 508 ✓
1016 ÷ 4 = 254 ✓
1016 ÷ 8 = 127 ✓

Reading both columns gives every factor: 1, 2, 4, 8, 127, 254, 508, 1016. The factor calculator does this automatically for any number.

Numbers mathematically connected to 1016.

Frequently asked questions about 1016

What are the factors of 1016?

The factors of 1016 are 1, 2, 4, 8, 127, 254, 508, and 1016. That is 8 factors in total, counting both 1 and 1016.

Is 1016 a prime number?

No, 1016 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 1016 is also divisible by 2.

What is the prime factorization of 1016?

The prime factorization of 1016 is 2³ × 127. Written out in full: 2 × 2 × 2 × 127 = 1016. Its distinct prime factors are 2, 127.

What two numbers multiply to give 1016?

There are 4 pairs of whole numbers that multiply to 1016: 1 × 1016, 2 × 508, 4 × 254, 8 × 127.

What is the sum of the factors of 1016?

Adding all the factors of 1016 together gives 1920. Excluding 1016 itself, the proper factors sum to 904.

Is 1016 a perfect square?

No, 1016 is not a perfect square. There is no whole number that multiplies by itself to give 1016. The nearest perfect squares are 961 and 1024.

What is the largest factor of 1016 other than itself?

The largest factor of 1016 apart from 1016 itself is 508, since 1016 ÷ 508 = 2.

How many factors does 1016 have?

1016 has 8 factors: 1, 2, 4, 8, 127, 254, 508, and 1016. You can verify this from the prime factorization 2³ × 127: add 1 to each exponent and multiply, giving 4 × 2 = 8.

Explore more

Try another number in the factor calculator, break 1016 down further with the prime factorization calculator, or compare 1016 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.