Factor Calculator

Factors of 322

The factors of 322 are 1, 2, 7, 14, 23, 46, 161, and 322. In total, 322 has 8 factors. Its prime factorization is 2 × 7 × 23, and the sum of all its factors is 576.

All factors of 322

Here are all 8 factors of 322, listed from smallest to largest.

127142346161322

Factor pairs of 322

These 4 pairs of whole numbers each multiply to give 322.

1 × 322 = 322
2 × 161 = 322
7 × 46 = 322
14 × 23 = 322

Prime factorization of 322

Dividing 322 by the smallest prime at each step gives its prime factorization:

322 ÷ 2 = 161
161 ÷ 7 = 23
23 ÷ 23 = 1
Result: 322 = 2 × 7 × 23 = 2 × 7 × 23

The distinct prime factors of 322 are 2, 7, 23. To factorize any other number, use the prime factorization calculator.

Factor tree of 322

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

Factor tree of 3223222161723
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 322

Number of factors8
Sum of factors576
Sum of proper factors254
Prime factorization2 × 7 × 23
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 322 interesting

  • 322 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.
  • 322 is a deficient number: its proper factors sum to 254, which is 68 less than 322 itself.
  • 322 has 3 distinct prime factors (2, 7, 23), which is why it has so many divisors.

How to find the factors of 322 yourself

Divide 322 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 √32217.94, because every factor above that pairs with one below it.

322 ÷ 1 = 322
322 ÷ 2 = 161
322 ÷ 7 = 46
322 ÷ 14 = 23

Reading both columns gives every factor: 1, 2, 7, 14, 23, 46, 161, 322. The factor calculator does this automatically for any number.

Frequently asked questions about 322

What are the factors of 322?

The factors of 322 are 1, 2, 7, 14, 23, 46, 161, and 322. That is 8 factors in total, counting both 1 and 322.

Is 322 a prime number?

No, 322 is not prime — it is a composite number with 8 factors. A prime number has exactly two factors, but 322 is also divisible by 2.

What is the prime factorization of 322?

The prime factorization of 322 is 2 × 7 × 23. Written out in full: 2 × 7 × 23 = 322. Its distinct prime factors are 2, 7, 23.

What two numbers multiply to give 322?

There are 4 pairs of whole numbers that multiply to 322: 1 × 322, 2 × 161, 7 × 46, 14 × 23.

What is the sum of the factors of 322?

Adding all the factors of 322 together gives 576. Excluding 322 itself, the proper factors sum to 254.

Is 322 a perfect square?

No, 322 is not a perfect square. There is no whole number that multiplies by itself to give 322. The nearest perfect squares are 289 and 324.

What is the largest factor of 322 other than itself?

The largest factor of 322 apart from 322 itself is 161, since 322 ÷ 161 = 2.

How many factors does 322 have?

322 has 8 factors: 1, 2, 7, 14, 23, 46, 161, and 322. You can verify this from the prime factorization 2 × 7 × 23: add 1 to each exponent and multiply, giving 2 × 2 × 2 = 8.

Explore more

Try another number in the factor calculator, break 322 down further with the prime factorization calculator, or compare 322 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.