Factor Calculator

Factors of 1070

The factors of 1070 are 1, 2, 5, 10, 107, 214, 535, and 1070. In total, 1070 has 8 factors. Its prime factorization is 2 × 5 × 107, and the sum of all its factors is 1944.

All factors of 1070

Here are all 8 factors of 1070, listed from smallest to largest.

125101072145351070

Factor pairs of 1070

These 4 pairs of whole numbers each multiply to give 1070.

1 × 1070 = 1070
2 × 535 = 1070
5 × 214 = 1070
10 × 107 = 1070

Prime factorization of 1070

Dividing 1070 by the smallest prime at each step gives its prime factorization:

1070 ÷ 2 = 535
535 ÷ 5 = 107
107 ÷ 107 = 1
Result: 1070 = 2 × 5 × 107 = 2 × 5 × 107

The distinct prime factors of 1070 are 2, 5, 107. To factorize any other number, use the prime factorization calculator.

Factor tree of 1070

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

Factor tree of 1070107025355107
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 1070

Number of factors8
Sum of factors1944
Sum of proper factors874
Prime factorization2 × 5 × 107
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 1070 interesting

  • 1070 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.
  • 1070 is a deficient number: its proper factors sum to 874, which is 196 less than 1070 itself.
  • 1070 has 3 distinct prime factors (2, 5, 107), which is why it has so many divisors.

How to find the factors of 1070 yourself

Divide 1070 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 √107032.71, because every factor above that pairs with one below it.

1070 ÷ 1 = 1070
1070 ÷ 2 = 535
1070 ÷ 5 = 214
1070 ÷ 10 = 107

Reading both columns gives every factor: 1, 2, 5, 10, 107, 214, 535, 1070. The factor calculator does this automatically for any number.

Frequently asked questions about 1070

What are the factors of 1070?

The factors of 1070 are 1, 2, 5, 10, 107, 214, 535, and 1070. That is 8 factors in total, counting both 1 and 1070.

Is 1070 a prime number?

No, 1070 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 1070 is also divisible by 2.

What is the prime factorization of 1070?

The prime factorization of 1070 is 2 × 5 × 107. Written out in full: 2 × 5 × 107 = 1070. Its distinct prime factors are 2, 5, 107.

What two numbers multiply to give 1070?

There are 4 pairs of whole numbers that multiply to 1070: 1 × 1070, 2 × 535, 5 × 214, 10 × 107.

What is the sum of the factors of 1070?

Adding all the factors of 1070 together gives 1944. Excluding 1070 itself, the proper factors sum to 874.

Is 1070 a perfect square?

No, 1070 is not a perfect square. There is no whole number that multiplies by itself to give 1070. The nearest perfect squares are 1024 and 1089.

What is the largest factor of 1070 other than itself?

The largest factor of 1070 apart from 1070 itself is 535, since 1070 ÷ 535 = 2.

How many factors does 1070 have?

1070 has 8 factors: 1, 2, 5, 10, 107, 214, 535, and 1070. You can verify this from the prime factorization 2 × 5 × 107: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 1070 down further with the prime factorization calculator, or compare 1070 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.