Factor Calculator

Factors of 860

The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, and 860. In total, 860 has 12 factors. Its prime factorization is 2² × 5 × 43, and the sum of all its factors is 1848.

All factors of 860

Here are all 12 factors of 860, listed from smallest to largest.

124510204386172215430860

Factor pairs of 860

These 6 pairs of whole numbers each multiply to give 860.

1 × 860 = 860
2 × 430 = 860
4 × 215 = 860
5 × 172 = 860
10 × 86 = 860
20 × 43 = 860

Prime factorization of 860

Dividing 860 by the smallest prime at each step gives its prime factorization:

860 ÷ 2 = 430
430 ÷ 2 = 215
215 ÷ 5 = 43
43 ÷ 43 = 1
Result: 860 = 2 × 2 × 5 × 43 = 2² × 5 × 43

The distinct prime factors of 860 are 2, 5, 43. To factorize any other number, use the prime factorization calculator.

Factor tree of 860

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

Factor tree of 86086024302215543
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 860

Number of factors12
Sum of factors1848
Sum of proper factors988
Prime factorization2² × 5 × 43
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 860 interesting

  • 860 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.
  • 860 is an abundant number: its proper factors sum to 988, which is 128 more than 860 itself.
  • 860 has 3 distinct prime factors (2, 5, 43), which is why it has so many divisors.

How to find the factors of 860 yourself

Divide 860 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 √860 ≈ 29.33, because every factor above that pairs with one below it.

860 ÷ 1 = 860 ✓
860 ÷ 2 = 430 ✓
860 ÷ 4 = 215 ✓
860 ÷ 5 = 172 ✓
860 ÷ 10 = 86 ✓
860 ÷ 20 = 43 ✓

Reading both columns gives every factor: 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860. The factor calculator does this automatically for any number.

Numbers mathematically connected to 860.

Frequently asked questions about 860

What are the factors of 860?

The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, and 860. That is 12 factors in total, counting both 1 and 860.

Is 860 a prime number?

No, 860 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 860 is also divisible by 2.

What is the prime factorization of 860?

The prime factorization of 860 is 2² × 5 × 43. Written out in full: 2 × 2 × 5 × 43 = 860. Its distinct prime factors are 2, 5, 43.

What two numbers multiply to give 860?

There are 6 pairs of whole numbers that multiply to 860: 1 × 860, 2 × 430, 4 × 215, 5 × 172, 10 × 86, 20 × 43.

What is the sum of the factors of 860?

Adding all the factors of 860 together gives 1848. Excluding 860 itself, the proper factors sum to 988.

Is 860 a perfect square?

No, 860 is not a perfect square. There is no whole number that multiplies by itself to give 860. The nearest perfect squares are 841 and 900.

What is the largest factor of 860 other than itself?

The largest factor of 860 apart from 860 itself is 430, since 860 ÷ 430 = 2.

How many factors does 860 have?

860 has 12 factors: 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, and 860. You can verify this from the prime factorization 2² × 5 × 43: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 860 down further with the prime factorization calculator, or compare 860 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.