Factor Calculator

Factors of 858

The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, and 858. In total, 858 has 16 factors. Its prime factorization is 2 × 3 × 11 × 13, and the sum of all its factors is 2016.

All factors of 858

Here are all 16 factors of 858, listed from smallest to largest.

12361113222633396678143286429858

Factor pairs of 858

These 8 pairs of whole numbers each multiply to give 858.

1 × 858 = 858
2 × 429 = 858
3 × 286 = 858
6 × 143 = 858
11 × 78 = 858
13 × 66 = 858
22 × 39 = 858
26 × 33 = 858

Prime factorization of 858

Dividing 858 by the smallest prime at each step gives its prime factorization:

858 ÷ 2 = 429
429 ÷ 3 = 143
143 ÷ 11 = 13
13 ÷ 13 = 1
Result: 858 = 2 × 3 × 11 × 13 = 2 × 3 × 11 × 13

The distinct prime factors of 858 are 2, 3, 11, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 858

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

Factor tree of 858858242931431113
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 858

Number of factors16
Sum of factors2016
Sum of proper factors1158
Prime factorization2 × 3 × 11 × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationAbundant

What makes 858 interesting

  • 858 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 8 different ways.
  • 858 is an abundant number: its proper factors sum to 1158, which is 300 more than 858 itself.
  • 858 has 4 distinct prime factors (2, 3, 11, 13), which is why it has so many divisors.

How to find the factors of 858 yourself

Divide 858 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 √858 ≈ 29.29, because every factor above that pairs with one below it.

858 ÷ 1 = 858 ✓
858 ÷ 2 = 429 ✓
858 ÷ 3 = 286 ✓
858 ÷ 6 = 143 ✓
858 ÷ 11 = 78 ✓
858 ÷ 13 = 66 ✓
858 ÷ 22 = 39 ✓
858 ÷ 26 = 33 ✓

Reading both columns gives every factor: 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858. The factor calculator does this automatically for any number.

Numbers mathematically connected to 858.

Frequently asked questions about 858

What are the factors of 858?

The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, and 858. That is 16 factors in total, counting both 1 and 858.

Is 858 a prime number?

No, 858 is not prime — it is a composite number with 16 factors. A prime number has exactly two factors, but 858 is also divisible by 2.

What is the prime factorization of 858?

The prime factorization of 858 is 2 × 3 × 11 × 13. Written out in full: 2 × 3 × 11 × 13 = 858. Its distinct prime factors are 2, 3, 11, 13.

What two numbers multiply to give 858?

There are 8 pairs of whole numbers that multiply to 858: 1 × 858, 2 × 429, 3 × 286, 6 × 143, 11 × 78, 13 × 66, 22 × 39, 26 × 33.

What is the sum of the factors of 858?

Adding all the factors of 858 together gives 2016. Excluding 858 itself, the proper factors sum to 1158.

Is 858 a perfect square?

No, 858 is not a perfect square. There is no whole number that multiplies by itself to give 858. The nearest perfect squares are 841 and 900.

What is the largest factor of 858 other than itself?

The largest factor of 858 apart from 858 itself is 429, since 858 ÷ 429 = 2.

How many factors does 858 have?

858 has 16 factors: 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, and 858. You can verify this from the prime factorization 2 × 3 × 11 × 13: add 1 to each exponent and multiply, giving 2 × 2 × 2 × 2 = 16.

Explore more

Try another number in the factor calculator, break 858 down further with the prime factorization calculator, or compare 858 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.