Factor Calculator

Factors of 495

The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495. In total, 495 has 12 factors. Its prime factorization is 3² × 5 × 11, and the sum of all its factors is 936.

All factors of 495

Here are all 12 factors of 495, listed from smallest to largest.

1359111533455599165495

Factor pairs of 495

These 6 pairs of whole numbers each multiply to give 495.

1 × 495 = 495
3 × 165 = 495
5 × 99 = 495
9 × 55 = 495
11 × 45 = 495
15 × 33 = 495

Prime factorization of 495

Dividing 495 by the smallest prime at each step gives its prime factorization:

495 ÷ 3 = 165
165 ÷ 3 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
Result: 495 = 3 × 3 × 5 × 11 = 3² × 5 × 11

The distinct prime factors of 495 are 3, 5, 11. To factorize any other number, use the prime factorization calculator.

Factor tree of 495

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

Factor tree of 4954953165355511
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 495

Number of factors12
Sum of factors936
Sum of proper factors441
Prime factorization3² × 5 × 11
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 495 interesting

  • 495 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.
  • 495 is a deficient number: its proper factors sum to 441, which is 54 less than 495 itself.
  • 495 has 3 distinct prime factors (3, 5, 11), which is why it has so many divisors.

How to find the factors of 495 yourself

Divide 495 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 √495 ≈ 22.25, because every factor above that pairs with one below it.

495 ÷ 1 = 495 ✓
495 ÷ 3 = 165 ✓
495 ÷ 5 = 99 ✓
495 ÷ 9 = 55 ✓
495 ÷ 11 = 45 ✓
495 ÷ 15 = 33 ✓

Reading both columns gives every factor: 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495. The factor calculator does this automatically for any number.

Numbers mathematically connected to 495.

Frequently asked questions about 495

What are the factors of 495?

The factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495. That is 12 factors in total, counting both 1 and 495.

Is 495 a prime number?

No, 495 is not prime — it is a composite number with 12 factors. A prime number has exactly two factors, but 495 is also divisible by 3.

What is the prime factorization of 495?

The prime factorization of 495 is 3² × 5 × 11. Written out in full: 3 × 3 × 5 × 11 = 495. Its distinct prime factors are 3, 5, 11.

What two numbers multiply to give 495?

There are 6 pairs of whole numbers that multiply to 495: 1 × 495, 3 × 165, 5 × 99, 9 × 55, 11 × 45, 15 × 33.

What is the sum of the factors of 495?

Adding all the factors of 495 together gives 936. Excluding 495 itself, the proper factors sum to 441.

Is 495 a perfect square?

No, 495 is not a perfect square. There is no whole number that multiplies by itself to give 495. The nearest perfect squares are 484 and 529.

What is the largest factor of 495 other than itself?

The largest factor of 495 apart from 495 itself is 165, since 495 ÷ 165 = 3.

How many factors does 495 have?

495 has 12 factors: 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495. You can verify this from the prime factorization 3² × 5 × 11: add 1 to each exponent and multiply, giving 3 × 2 × 2 = 12.

Explore more

Try another number in the factor calculator, break 495 down further with the prime factorization calculator, or compare 495 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.