Factor Calculator

Factors of 675

The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, and 675. In total, 675 has 12 factors. Its prime factorization is 3³ × 5², and the sum of all its factors is 1240.

All factors of 675

Here are all 12 factors of 675, listed from smallest to largest.

13591525274575135225675

Factor pairs of 675

These 6 pairs of whole numbers each multiply to give 675.

1 × 675 = 675
3 × 225 = 675
5 × 135 = 675
9 × 75 = 675
15 × 45 = 675
25 × 27 = 675

Prime factorization of 675

Dividing 675 by the smallest prime at each step gives its prime factorization:

675 ÷ 3 = 225
225 ÷ 3 = 75
75 ÷ 3 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
Result: 675 = 3 × 3 × 3 × 5 × 5 = 3³ × 5²

The distinct prime factors of 675 are 3, 5. To factorize any other number, use the prime factorization calculator.

Factor tree of 675

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

Factor tree of 675675322537532555
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 675

Number of factors12
Sum of factors1240
Sum of proper factors565
Prime factorization3³ × 5²
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 675 interesting

  • 675 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.
  • 675 is a deficient number: its proper factors sum to 565, which is 110 less than 675 itself.

How to find the factors of 675 yourself

Divide 675 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 √675 ≈ 25.98, because every factor above that pairs with one below it.

675 ÷ 1 = 675 ✓
675 ÷ 3 = 225 ✓
675 ÷ 5 = 135 ✓
675 ÷ 9 = 75 ✓
675 ÷ 15 = 45 ✓
675 ÷ 25 = 27 ✓

Reading both columns gives every factor: 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675. The factor calculator does this automatically for any number.

Numbers mathematically connected to 675.

Frequently asked questions about 675

What are the factors of 675?

The factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, and 675. That is 12 factors in total, counting both 1 and 675.

Is 675 a prime number?

No, 675 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 675 is also divisible by 3.

What is the prime factorization of 675?

The prime factorization of 675 is 3³ × 5². Written out in full: 3 × 3 × 3 × 5 × 5 = 675. Its distinct prime factors are 3, 5.

What two numbers multiply to give 675?

There are 6 pairs of whole numbers that multiply to 675: 1 × 675, 3 × 225, 5 × 135, 9 × 75, 15 × 45, 25 × 27.

What is the sum of the factors of 675?

Adding all the factors of 675 together gives 1240. Excluding 675 itself, the proper factors sum to 565.

Is 675 a perfect square?

No, 675 is not a perfect square. There is no whole number that multiplies by itself to give 675. The nearest perfect squares are 625 and 676.

What is the largest factor of 675 other than itself?

The largest factor of 675 apart from 675 itself is 225, since 675 ÷ 225 = 3.

How many factors does 675 have?

675 has 12 factors: 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, and 675. You can verify this from the prime factorization 3³ × 5²: add 1 to each exponent and multiply, giving 4 × 3 = 12.

Explore more

Try another number in the factor calculator, break 675 down further with the prime factorization calculator, or compare 675 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.