Factors of 144

How to find the factors of 144

Test every whole number from 1 up to the square root of 144 (√144 ≈ 12.000). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 144 ÷ 1 = 144 — so 1 and 144 are factors
• 144 ÷ 2 = 72 — so 2 and 72 are factors
• 144 ÷ 3 = 48 — so 3 and 48 are factors
• 144 ÷ 4 = 36 — so 4 and 36 are factors
• 144 ÷ 5 = 28.8 — not a whole number
• 144 ÷ 6 = 24 — so 6 and 24 are factors
• 144 ÷ 7 = 20.571 — not a whole number
• 144 ÷ 8 = 18 — so 8 and 18 are factors
• 144 ÷ 9 = 16 — so 9 and 16 are factors
• 144 ÷ 10 = 14.4 — not a whole number
• 144 ÷ 11 = 13.091 — not a whole number
• 144 ÷ 12 = 12 — so 12 and 12 are factors

Collecting both numbers from every successful division gives the complete list: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144.

Prime factorization of 144

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

The primes you divided by give 144 = 2⁴ × 3². From the exponents you can also count the factors without listing them: (4 + 1) × (2 + 1) = 15.

Properties of 144

• 144 is a composite number.
• The sum of all its factors is 403; the sum of its proper factors (excluding 144) is 259, which makes it a abundant number (its proper factors add up to more than itself).
• 144 is a perfect square: 12 × 12. Perfect squares always have an odd number of factors.
• Multiples of 144 include 288, 432, 576, 720 and so on.

Factors vs. multiples

Factors of 144 are the numbers that divide into it; multiples of 144 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.