Factors of 150

How to find the factors of 150

Test every whole number from 1 up to the square root of 150 (√150 ≈ 12.247). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 150 ÷ 1 = 150 — so 1 and 150 are factors
• 150 ÷ 2 = 75 — so 2 and 75 are factors
• 150 ÷ 3 = 50 — so 3 and 50 are factors
• 150 ÷ 4 = 37.5 — not a whole number
• 150 ÷ 5 = 30 — so 5 and 30 are factors
• 150 ÷ 6 = 25 — so 6 and 25 are factors
• 150 ÷ 7 = 21.429 — not a whole number
• 150 ÷ 8 = 18.75 — not a whole number
• 150 ÷ 9 = 16.667 — not a whole number
• 150 ÷ 10 = 15 — so 10 and 15 are factors
• 150 ÷ 11 = 13.636 — not a whole number
• 150 ÷ 12 = 12.5 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75 and 150.

Prime factorization of 150

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

The primes you divided by give 150 = 2 × 3 × 5². From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (2 + 1) = 12.

Properties of 150

• 150 is a composite number.
• The sum of all its factors is 372; the sum of its proper factors (excluding 150) is 222, which makes it a abundant number (its proper factors add up to more than itself).
• 150 is not a perfect square, so its factors pair up evenly.
• Multiples of 150 include 300, 450, 600, 750 and so on.

Factors vs. multiples

Factors of 150 are the numbers that divide into it; multiples of 150 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.