Factors of 164

How to find the factors of 164

Test every whole number from 1 up to the square root of 164 (√164 ≈ 12.806). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 164 ÷ 1 = 164 — so 1 and 164 are factors
• 164 ÷ 2 = 82 — so 2 and 82 are factors
• 164 ÷ 3 = 54.667 — not a whole number
• 164 ÷ 4 = 41 — so 4 and 41 are factors
• 164 ÷ 5 = 32.8 — not a whole number
• 164 ÷ 6 = 27.333 — not a whole number
• 164 ÷ 7 = 23.429 — not a whole number
• 164 ÷ 8 = 20.5 — not a whole number
• 164 ÷ 9 = 18.222 — not a whole number
• 164 ÷ 10 = 16.4 — not a whole number
• 164 ÷ 11 = 14.909 — not a whole number
• 164 ÷ 12 = 13.667 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 41, 82 and 164.

Prime factorization of 164

Divide by the smallest prime that fits, and keep going until the quotient is 1:

The primes you divided by give 164 = 2² × 41. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) = 6.

Properties of 164

• 164 is a composite number.
• The sum of all its factors is 294; the sum of its proper factors (excluding 164) is 130, which makes it a deficient number (its proper factors add up to less than itself).
• 164 is not a perfect square, so its factors pair up evenly.
• Multiples of 164 include 328, 492, 656, 820 and so on.

Factors vs. multiples

Factors of 164 are the numbers that divide into it; multiples of 164 are the numbers it divides into. Every number has a limited set of factors but infinitely many multiples. To work with any other number, use the factors calculator, or find shared factors with the GCF calculator.