Factor Calculator

Factors of 182

The factors of 182 are 1, 2, 7, 13, 14, 26, 91, and 182. In total, 182 has 8 factors. Its prime factorization is 2 × 7 × 13, and the sum of all its factors is 336.

All factors of 182

Here are all 8 factors of 182, listed from smallest to largest.

12713142691182

Factor pairs of 182

These 4 pairs of whole numbers each multiply to give 182.

1 × 182 = 182
2 × 91 = 182
7 × 26 = 182
13 × 14 = 182

Prime factorization of 182

Dividing 182 by the smallest prime at each step gives its prime factorization:

182 ÷ 2 = 91
91 ÷ 7 = 13
13 ÷ 13 = 1
Result: 182 = 2 × 7 × 13 = 2 × 7 × 13

The distinct prime factors of 182 are 2, 7, 13. To factorize any other number, use the prime factorization calculator.

Factor tree of 182

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

Factor tree of 182182291713
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 182

Number of factors8
Sum of factors336
Sum of proper factors154
Prime factorization2 × 7 × 13
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 182 interesting

  • 182 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.
  • 182 is a deficient number: its proper factors sum to 154, which is 28 less than 182 itself.
  • 182 has 3 distinct prime factors (2, 7, 13), which is why it has so many divisors.

How to find the factors of 182 yourself

Divide 182 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 √18213.49, because every factor above that pairs with one below it.

182 ÷ 1 = 182
182 ÷ 2 = 91
182 ÷ 7 = 26
182 ÷ 13 = 14

Reading both columns gives every factor: 1, 2, 7, 13, 14, 26, 91, 182. The factor calculator does this automatically for any number.

Frequently asked questions about 182

What are the factors of 182?

The factors of 182 are 1, 2, 7, 13, 14, 26, 91, and 182. That is 8 factors in total, counting both 1 and 182.

Is 182 a prime number?

No, 182 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 182 is also divisible by 2.

What is the prime factorization of 182?

The prime factorization of 182 is 2 × 7 × 13. Written out in full: 2 × 7 × 13 = 182. Its distinct prime factors are 2, 7, 13.

What two numbers multiply to give 182?

There are 4 pairs of whole numbers that multiply to 182: 1 × 182, 2 × 91, 7 × 26, 13 × 14.

What is the sum of the factors of 182?

Adding all the factors of 182 together gives 336. Excluding 182 itself, the proper factors sum to 154.

Is 182 a perfect square?

No, 182 is not a perfect square. There is no whole number that multiplies by itself to give 182. The nearest perfect squares are 169 and 196.

What is the largest factor of 182 other than itself?

The largest factor of 182 apart from 182 itself is 91, since 182 ÷ 91 = 2.

How many factors does 182 have?

182 has 8 factors: 1, 2, 7, 13, 14, 26, 91, and 182. You can verify this from the prime factorization 2 × 7 × 13: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 182 down further with the prime factorization calculator, or compare 182 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.