Factor Calculator

Factors of 147

The factors of 147 are 1, 3, 7, 21, 49, and 147. In total, 147 has 6 factors. Its prime factorization is 3 × 7², and the sum of all its factors is 228.

All factors of 147

Here are all 6 factors of 147, listed from smallest to largest.

1372149147

Factor pairs of 147

These 3 pairs of whole numbers each multiply to give 147.

1 × 147 = 147
3 × 49 = 147
7 × 21 = 147

Prime factorization of 147

Dividing 147 by the smallest prime at each step gives its prime factorization:

147 ÷ 3 = 49
49 ÷ 7 = 7
7 ÷ 7 = 1
Result: 147 = 3 × 7 × 7 = 3 × 7²

The distinct prime factors of 147 are 3, 7. To factorize any other number, use the prime factorization calculator.

Factor tree of 147

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

Factor tree of 14714734977
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 147

Number of factors6
Sum of factors228
Sum of proper factors81
Prime factorization3 × 7²
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 147 interesting

  • 147 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 3 different ways.
  • 147 is a deficient number: its proper factors sum to 81, which is 66 less than 147 itself.

How to find the factors of 147 yourself

Divide 147 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 √14712.12, because every factor above that pairs with one below it.

147 ÷ 1 = 147
147 ÷ 3 = 49
147 ÷ 7 = 21

Reading both columns gives every factor: 1, 3, 7, 21, 49, 147. The factor calculator does this automatically for any number.

Frequently asked questions about 147

What are the factors of 147?

The factors of 147 are 1, 3, 7, 21, 49, and 147. That is 6 factors in total, counting both 1 and 147.

Is 147 a prime number?

No, 147 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 147 is also divisible by 3.

What is the prime factorization of 147?

The prime factorization of 147 is 3 × 7². Written out in full: 3 × 7 × 7 = 147. Its distinct prime factors are 3, 7.

What two numbers multiply to give 147?

There are 3 pairs of whole numbers that multiply to 147: 1 × 147, 3 × 49, 7 × 21.

What is the sum of the factors of 147?

Adding all the factors of 147 together gives 228. Excluding 147 itself, the proper factors sum to 81.

Is 147 a perfect square?

No, 147 is not a perfect square. There is no whole number that multiplies by itself to give 147. The nearest perfect squares are 144 and 169.

What is the largest factor of 147 other than itself?

The largest factor of 147 apart from 147 itself is 49, since 147 ÷ 49 = 3.

How many factors does 147 have?

147 has 6 factors: 1, 3, 7, 21, 49, and 147. You can verify this from the prime factorization 3 × 7²: add 1 to each exponent and multiply, giving 2 × 3 = 6.

Explore more

Try another number in the factor calculator, break 147 down further with the prime factorization calculator, or compare 147 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.