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.
Factor pairs of 1070
These 4 pairs of whole numbers each multiply to give 1070.
Prime factorization of 1070
Dividing 1070 by the smallest prime at each step gives its prime factorization:
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.
Properties of 1070
| Number of factors | 8 |
|---|---|
| Sum of factors | 1944 |
| Sum of proper factors | 874 |
| Prime factorization | 2 × 5 × 107 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
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 √1070 ≈ 32.71, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 5, 10, 107, 214, 535, 1070. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 1070.
Frequently asked questions about 1070
What are the factors of 1070?
Is 1070 a prime number?
What is the prime factorization of 1070?
What two numbers multiply to give 1070?
What is the sum of the factors of 1070?
Is 1070 a perfect square?
What is the largest factor of 1070 other than itself?
How many factors does 1070 have?
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.