Factor Calculator

Factors of 247

The factors of 247 are 1, 13, 19, and 247. In total, 247 has 4 factors. Its prime factorization is 13 × 19, and the sum of all its factors is 280.

All factors of 247

Here are all 4 factors of 247, listed from smallest to largest.

11319247

Factor pairs of 247

These 2 pairs of whole numbers each multiply to give 247.

1 × 247 = 247
13 × 19 = 247

Prime factorization of 247

Dividing 247 by the smallest prime at each step gives its prime factorization:

247 ÷ 13 = 19
19 ÷ 19 = 1
Result: 247 = 13 × 19 = 13 × 19

The distinct prime factors of 247 are 13, 19. To factorize any other number, use the prime factorization calculator.

Factor tree of 247

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

Factor tree of 2472471319
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 247

Number of factors4
Sum of factors280
Sum of proper factors33
Prime factorization13 × 19
Prime or composite?Composite
Even or odd?Odd
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 247 interesting

  • 247 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 2 different ways.
  • 247 is a deficient number: its proper factors sum to 33, which is 214 less than 247 itself.

How to find the factors of 247 yourself

Divide 247 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 √24715.72, because every factor above that pairs with one below it.

247 ÷ 1 = 247
247 ÷ 13 = 19

Reading both columns gives every factor: 1, 13, 19, 247. The factor calculator does this automatically for any number.

Frequently asked questions about 247

What are the factors of 247?

The factors of 247 are 1, 13, 19, and 247. That is 4 factors in total, counting both 1 and 247.

Is 247 a prime number?

No, 247 is not prime — it is a composite number with 4 factors. A prime number has exactly two factors, but 247 is also divisible by 13.

What is the prime factorization of 247?

The prime factorization of 247 is 13 × 19. Written out in full: 13 × 19 = 247. Its distinct prime factors are 13, 19.

What two numbers multiply to give 247?

There are 2 pairs of whole numbers that multiply to 247: 1 × 247, 13 × 19.

What is the sum of the factors of 247?

Adding all the factors of 247 together gives 280. Excluding 247 itself, the proper factors sum to 33.

Is 247 a perfect square?

No, 247 is not a perfect square. There is no whole number that multiplies by itself to give 247. The nearest perfect squares are 225 and 256.

What is the largest factor of 247 other than itself?

The largest factor of 247 apart from 247 itself is 19, since 247 ÷ 19 = 13.

How many factors does 247 have?

247 has 4 factors: 1, 13, 19, and 247. You can verify this from the prime factorization 13 × 19: add 1 to each exponent and multiply, giving 2 × 2 = 4.

Explore more

Try another number in the factor calculator, break 247 down further with the prime factorization calculator, or compare 247 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.