Factor Calculator

Factors of 627

The factors of 627 are 1, 3, 11, 19, 33, 57, 209, and 627. In total, 627 has 8 factors. Its prime factorization is 3 × 11 × 19, and the sum of all its factors is 960.

All factors of 627

Here are all 8 factors of 627, listed from smallest to largest.

1311193357209627

Factor pairs of 627

These 4 pairs of whole numbers each multiply to give 627.

1 × 627 = 627
3 × 209 = 627
11 × 57 = 627
19 × 33 = 627

Prime factorization of 627

Dividing 627 by the smallest prime at each step gives its prime factorization:

627 ÷ 3 = 209
209 ÷ 11 = 19
19 ÷ 19 = 1
Result: 627 = 3 × 11 × 19 = 3 × 11 × 19

The distinct prime factors of 627 are 3, 11, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 627

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

Factor tree of 62762732091119
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 627

Number of factors8
Sum of factors960
Sum of proper factors333
Prime factorization3 × 11 × 19
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 627 interesting

  • 627 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.
  • 627 is a deficient number: its proper factors sum to 333, which is 294 less than 627 itself.
  • 627 has 3 distinct prime factors (3, 11, 19), which is why it has so many divisors.

How to find the factors of 627 yourself

Divide 627 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 √62725.04, because every factor above that pairs with one below it.

627 ÷ 1 = 627
627 ÷ 3 = 209
627 ÷ 11 = 57
627 ÷ 19 = 33

Reading both columns gives every factor: 1, 3, 11, 19, 33, 57, 209, 627. The factor calculator does this automatically for any number.

Frequently asked questions about 627

What are the factors of 627?

The factors of 627 are 1, 3, 11, 19, 33, 57, 209, and 627. That is 8 factors in total, counting both 1 and 627.

Is 627 a prime number?

No, 627 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 627 is also divisible by 3.

What is the prime factorization of 627?

The prime factorization of 627 is 3 × 11 × 19. Written out in full: 3 × 11 × 19 = 627. Its distinct prime factors are 3, 11, 19.

What two numbers multiply to give 627?

There are 4 pairs of whole numbers that multiply to 627: 1 × 627, 3 × 209, 11 × 57, 19 × 33.

What is the sum of the factors of 627?

Adding all the factors of 627 together gives 960. Excluding 627 itself, the proper factors sum to 333.

Is 627 a perfect square?

No, 627 is not a perfect square. There is no whole number that multiplies by itself to give 627. The nearest perfect squares are 625 and 676.

What is the largest factor of 627 other than itself?

The largest factor of 627 apart from 627 itself is 209, since 627 ÷ 209 = 3.

How many factors does 627 have?

627 has 8 factors: 1, 3, 11, 19, 33, 57, 209, and 627. You can verify this from the prime factorization 3 × 11 × 19: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 627 down further with the prime factorization calculator, or compare 627 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.