Factors of 162

How to find the factors of 162

Test every whole number from 1 up to the square root of 162 (√162 ≈ 12.728). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 162 ÷ 1 = 162 — so 1 and 162 are factors
• 162 ÷ 2 = 81 — so 2 and 81 are factors
• 162 ÷ 3 = 54 — so 3 and 54 are factors
• 162 ÷ 4 = 40.5 — not a whole number
• 162 ÷ 5 = 32.4 — not a whole number
• 162 ÷ 6 = 27 — so 6 and 27 are factors
• 162 ÷ 7 = 23.143 — not a whole number
• 162 ÷ 8 = 20.25 — not a whole number
• 162 ÷ 9 = 18 — so 9 and 18 are factors
• 162 ÷ 10 = 16.2 — not a whole number
• 162 ÷ 11 = 14.727 — not a whole number
• 162 ÷ 12 = 13.5 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 6, 9, 18, 27, 54, 81 and 162.

Prime factorization of 162

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

The primes you divided by give 162 = 2 × 3⁴. From the exponents you can also count the factors without listing them: (1 + 1) × (4 + 1) = 10.

Properties of 162

• 162 is a composite number.
• The sum of all its factors is 363; the sum of its proper factors (excluding 162) is 201, which makes it a abundant number (its proper factors add up to more than itself).
• 162 is not a perfect square, so its factors pair up evenly.
• Multiples of 162 include 324, 486, 648, 810 and so on.

Factors vs. multiples

Factors of 162 are the numbers that divide into it; multiples of 162 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.