Factor Calculator

Factors of 70

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70. In total, 70 has 8 factors. Its prime factorization is 2 × 5 × 7, and the sum of all its factors is 144.

All factors of 70

Here are all 8 factors of 70, listed from smallest to largest.

125710143570

Factor pairs of 70

These 4 pairs of whole numbers each multiply to give 70.

1 × 70 = 70
2 × 35 = 70
5 × 14 = 70
7 × 10 = 70

Prime factorization of 70

Dividing 70 by the smallest prime at each step gives its prime factorization:

70 ÷ 2 = 35
35 ÷ 5 = 7
7 ÷ 7 = 1
Result: 70 = 2 × 5 × 7 = 2 × 5 × 7

The distinct prime factors of 70 are 2, 5, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 70

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

Factor tree of 707023557
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 70

Number of factors8
Sum of factors144
Sum of proper factors74
Prime factorization2 × 5 × 7
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 70 interesting

  • 70 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.
  • 70 is an abundant number: its proper factors sum to 74, which is 4 more than 70 itself.
  • 70 has 3 distinct prime factors (2, 5, 7), which is why it has so many divisors.

How to find the factors of 70 yourself

Divide 70 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 √708.37, because every factor above that pairs with one below it.

70 ÷ 1 = 70
70 ÷ 2 = 35
70 ÷ 5 = 14
70 ÷ 7 = 10

Reading both columns gives every factor: 1, 2, 5, 7, 10, 14, 35, 70. The factor calculator does this automatically for any number.

Frequently asked questions about 70

What are the factors of 70?

The factors of 70 are 1, 2, 5, 7, 10, 14, 35, and 70. That is 8 factors in total, counting both 1 and 70.

Is 70 a prime number?

No, 70 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 70 is also divisible by 2.

What is the prime factorization of 70?

The prime factorization of 70 is 2 × 5 × 7. Written out in full: 2 × 5 × 7 = 70. Its distinct prime factors are 2, 5, 7.

What two numbers multiply to give 70?

There are 4 pairs of whole numbers that multiply to 70: 1 × 70, 2 × 35, 5 × 14, 7 × 10.

What is the sum of the factors of 70?

Adding all the factors of 70 together gives 144. Excluding 70 itself, the proper factors sum to 74.

Is 70 a perfect square?

No, 70 is not a perfect square. There is no whole number that multiplies by itself to give 70. The nearest perfect squares are 64 and 81.

What is the largest factor of 70 other than itself?

The largest factor of 70 apart from 70 itself is 35, since 70 ÷ 35 = 2.

How many factors does 70 have?

70 has 8 factors: 1, 2, 5, 7, 10, 14, 35, and 70. You can verify this from the prime factorization 2 × 5 × 7: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 70 down further with the prime factorization calculator, or compare 70 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.