Factor Calculator

Factors of 164

The factors of 164 are 1, 2, 4, 41, 82, and 164. In total, 164 has 6 factors. Its prime factorization is 2² × 41, and the sum of all its factors is 294.

All factors of 164

Here are all 6 factors of 164, listed from smallest to largest.

1244182164

Factor pairs of 164

These 3 pairs of whole numbers each multiply to give 164.

1 × 164 = 164
2 × 82 = 164
4 × 41 = 164

Prime factorization of 164

Dividing 164 by the smallest prime at each step gives its prime factorization:

164 ÷ 2 = 82
82 ÷ 2 = 41
41 ÷ 41 = 1
Result: 164 = 2 × 2 × 41 = 2² × 41

The distinct prime factors of 164 are 2, 41. To factorize any other number, use the prime factorization calculator.

Factor tree of 164

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

Factor tree of 164164282241
Prime factors are shown in solid indigo. Composite numbers split into their smallest prime and the quotient.

Properties of 164

Number of factors6
Sum of factors294
Sum of proper factors130
Prime factorization2² × 41
Prime or composite?Composite
Even or odd?Even
Perfect square?No
Perfect cube?No
ClassificationDeficient

What makes 164 interesting

  • 164 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.
  • 164 is a deficient number: its proper factors sum to 130, which is 34 less than 164 itself.

How to find the factors of 164 yourself

Divide 164 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 √16412.81, because every factor above that pairs with one below it.

164 ÷ 1 = 164
164 ÷ 2 = 82
164 ÷ 4 = 41

Reading both columns gives every factor: 1, 2, 4, 41, 82, 164. The factor calculator does this automatically for any number.

Frequently asked questions about 164

What are the factors of 164?

The factors of 164 are 1, 2, 4, 41, 82, and 164. That is 6 factors in total, counting both 1 and 164.

Is 164 a prime number?

No, 164 is not prime — it is a composite number with 6 factors. A prime number has exactly two factors, but 164 is also divisible by 2.

What is the prime factorization of 164?

The prime factorization of 164 is 2² × 41. Written out in full: 2 × 2 × 41 = 164. Its distinct prime factors are 2, 41.

What two numbers multiply to give 164?

There are 3 pairs of whole numbers that multiply to 164: 1 × 164, 2 × 82, 4 × 41.

What is the sum of the factors of 164?

Adding all the factors of 164 together gives 294. Excluding 164 itself, the proper factors sum to 130.

Is 164 a perfect square?

No, 164 is not a perfect square. There is no whole number that multiplies by itself to give 164. The nearest perfect squares are 144 and 169.

What is the largest factor of 164 other than itself?

The largest factor of 164 apart from 164 itself is 82, since 164 ÷ 82 = 2.

How many factors does 164 have?

164 has 6 factors: 1, 2, 4, 41, 82, and 164. You can verify this from the prime factorization 2² × 41: add 1 to each exponent and multiply, giving 3 × 2 = 6.

Explore more

Try another number in the factor calculator, break 164 down further with the prime factorization calculator, or compare 164 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.