Factor Calculator

Factors of 555

The factors of 555 are 1, 3, 5, 15, 37, 111, 185, and 555. In total, 555 has 8 factors. Its prime factorization is 3 × 5 × 37, and the sum of all its factors is 912.

All factors of 555

Here are all 8 factors of 555, listed from smallest to largest.

1351537111185555

Factor pairs of 555

These 4 pairs of whole numbers each multiply to give 555.

1 × 555 = 555
3 × 185 = 555
5 × 111 = 555
15 × 37 = 555

Prime factorization of 555

Dividing 555 by the smallest prime at each step gives its prime factorization:

555 ÷ 3 = 185
185 ÷ 5 = 37
37 ÷ 37 = 1
Result: 555 = 3 × 5 × 37 = 3 × 5 × 37

The distinct prime factors of 555 are 3, 5, 37. To factorize any other number, use the prime factorization calculator.

Factor tree of 555

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

Factor tree of 5555553185537
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 555

Number of factors8
Sum of factors912
Sum of proper factors357
Prime factorization3 × 5 × 37
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 555 interesting

  • 555 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.
  • 555 is a deficient number: its proper factors sum to 357, which is 198 less than 555 itself.
  • 555 has 3 distinct prime factors (3, 5, 37), which is why it has so many divisors.

How to find the factors of 555 yourself

Divide 555 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 √555 ≈ 23.56, because every factor above that pairs with one below it.

555 ÷ 1 = 555 ✓
555 ÷ 3 = 185 ✓
555 ÷ 5 = 111 ✓
555 ÷ 15 = 37 ✓

Reading both columns gives every factor: 1, 3, 5, 15, 37, 111, 185, 555. The factor calculator does this automatically for any number.

Numbers mathematically connected to 555.

Frequently asked questions about 555

What are the factors of 555?

The factors of 555 are 1, 3, 5, 15, 37, 111, 185, and 555. That is 8 factors in total, counting both 1 and 555.

Is 555 a prime number?

No, 555 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 555 is also divisible by 3.

What is the prime factorization of 555?

The prime factorization of 555 is 3 × 5 × 37. Written out in full: 3 × 5 × 37 = 555. Its distinct prime factors are 3, 5, 37.

What two numbers multiply to give 555?

There are 4 pairs of whole numbers that multiply to 555: 1 × 555, 3 × 185, 5 × 111, 15 × 37.

What is the sum of the factors of 555?

Adding all the factors of 555 together gives 912. Excluding 555 itself, the proper factors sum to 357.

Is 555 a perfect square?

No, 555 is not a perfect square. There is no whole number that multiplies by itself to give 555. The nearest perfect squares are 529 and 576.

What is the largest factor of 555 other than itself?

The largest factor of 555 apart from 555 itself is 185, since 555 ÷ 185 = 3.

How many factors does 555 have?

555 has 8 factors: 1, 3, 5, 15, 37, 111, 185, and 555. You can verify this from the prime factorization 3 × 5 × 37: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 555 down further with the prime factorization calculator, or compare 555 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.