Factor Calculator

Factors of 855

The factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, and 855. In total, 855 has 12 factors. Its prime factorization is 3² × 5 × 19, and the sum of all its factors is 1560.

All factors of 855

Here are all 12 factors of 855, listed from smallest to largest.

13591519455795171285855

Factor pairs of 855

These 6 pairs of whole numbers each multiply to give 855.

1 × 855 = 855
3 × 285 = 855
5 × 171 = 855
9 × 95 = 855
15 × 57 = 855
19 × 45 = 855

Prime factorization of 855

Dividing 855 by the smallest prime at each step gives its prime factorization:

855 ÷ 3 = 285
285 ÷ 3 = 95
95 ÷ 5 = 19
19 ÷ 19 = 1
Result: 855 = 3 × 3 × 5 × 19 = 3² × 5 × 19

The distinct prime factors of 855 are 3, 5, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 855

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

Factor tree of 8558553285395519
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 855

Number of factors12
Sum of factors1560
Sum of proper factors705
Prime factorization3² × 5 × 19
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 855 interesting

  • 855 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.
  • 855 is a deficient number: its proper factors sum to 705, which is 150 less than 855 itself.
  • 855 has 3 distinct prime factors (3, 5, 19), which is why it has so many divisors.

How to find the factors of 855 yourself

Divide 855 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 √855 ≈ 29.24, because every factor above that pairs with one below it.

855 ÷ 1 = 855 ✓
855 ÷ 3 = 285 ✓
855 ÷ 5 = 171 ✓
855 ÷ 9 = 95 ✓
855 ÷ 15 = 57 ✓
855 ÷ 19 = 45 ✓

Reading both columns gives every factor: 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855. The factor calculator does this automatically for any number.

Numbers mathematically connected to 855.

Frequently asked questions about 855

What are the factors of 855?

The factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, and 855. That is 12 factors in total, counting both 1 and 855.

Is 855 a prime number?

No, 855 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 855 is also divisible by 3.

What is the prime factorization of 855?

The prime factorization of 855 is 3² × 5 × 19. Written out in full: 3 × 3 × 5 × 19 = 855. Its distinct prime factors are 3, 5, 19.

What two numbers multiply to give 855?

There are 6 pairs of whole numbers that multiply to 855: 1 × 855, 3 × 285, 5 × 171, 9 × 95, 15 × 57, 19 × 45.

What is the sum of the factors of 855?

Adding all the factors of 855 together gives 1560. Excluding 855 itself, the proper factors sum to 705.

Is 855 a perfect square?

No, 855 is not a perfect square. There is no whole number that multiplies by itself to give 855. The nearest perfect squares are 841 and 900.

What is the largest factor of 855 other than itself?

The largest factor of 855 apart from 855 itself is 285, since 855 ÷ 285 = 3.

How many factors does 855 have?

855 has 12 factors: 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, and 855. You can verify this from the prime factorization 3² × 5 × 19: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 855 down further with the prime factorization calculator, or compare 855 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.