Factors of 140

How to find the factors of 140

Test every whole number from 1 up to the square root of 140 (√140 ≈ 11.832). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 140 ÷ 1 = 140 — so 1 and 140 are factors
• 140 ÷ 2 = 70 — so 2 and 70 are factors
• 140 ÷ 3 = 46.667 — not a whole number
• 140 ÷ 4 = 35 — so 4 and 35 are factors
• 140 ÷ 5 = 28 — so 5 and 28 are factors
• 140 ÷ 6 = 23.333 — not a whole number
• 140 ÷ 7 = 20 — so 7 and 20 are factors
• 140 ÷ 8 = 17.5 — not a whole number
• 140 ÷ 9 = 15.556 — not a whole number
• 140 ÷ 10 = 14 — so 10 and 14 are factors
• 140 ÷ 11 = 12.727 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70 and 140.

Prime factorization of 140

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

The primes you divided by give 140 = 2² × 5 × 7. From the exponents you can also count the factors without listing them: (2 + 1) × (1 + 1) × (1 + 1) = 12.

Properties of 140

• 140 is a composite number.
• The sum of all its factors is 336; the sum of its proper factors (excluding 140) is 196, which makes it a abundant number (its proper factors add up to more than itself).
• 140 is not a perfect square, so its factors pair up evenly.
• Multiples of 140 include 280, 420, 560, 700 and so on.

Factors vs. multiples

Factors of 140 are the numbers that divide into it; multiples of 140 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.