Factors of 147

How to find the factors of 147

Test every whole number from 1 up to the square root of 147 (√147 ≈ 12.124). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 147 ÷ 1 = 147 — so 1 and 147 are factors
• 147 ÷ 2 = 73.5 — not a whole number
• 147 ÷ 3 = 49 — so 3 and 49 are factors
• 147 ÷ 4 = 36.75 — not a whole number
• 147 ÷ 5 = 29.4 — not a whole number
• 147 ÷ 6 = 24.5 — not a whole number
• 147 ÷ 7 = 21 — so 7 and 21 are factors
• 147 ÷ 8 = 18.375 — not a whole number
• 147 ÷ 9 = 16.333 — not a whole number
• 147 ÷ 10 = 14.7 — not a whole number
• 147 ÷ 11 = 13.364 — not a whole number
• 147 ÷ 12 = 12.25 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 3, 7, 21, 49 and 147.

Prime factorization of 147

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

The primes you divided by give 147 = 3 × 7². From the exponents you can also count the factors without listing them: (1 + 1) × (2 + 1) = 6.

Properties of 147

• 147 is a composite number.
• The sum of all its factors is 228; the sum of its proper factors (excluding 147) is 81, which makes it a deficient number (its proper factors add up to less than itself).
• 147 is not a perfect square, so its factors pair up evenly.
• Multiples of 147 include 294, 441, 588, 735 and so on.

Factors vs. multiples

Factors of 147 are the numbers that divide into it; multiples of 147 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.