Factors of 142

How to find the factors of 142

Test every whole number from 1 up to the square root of 142 (√142 ≈ 11.916). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 142 ÷ 1 = 142 — so 1 and 142 are factors
• 142 ÷ 2 = 71 — so 2 and 71 are factors
• 142 ÷ 3 = 47.333 — not a whole number
• 142 ÷ 4 = 35.5 — not a whole number
• 142 ÷ 5 = 28.4 — not a whole number
• 142 ÷ 6 = 23.667 — not a whole number
• 142 ÷ 7 = 20.286 — not a whole number
• 142 ÷ 8 = 17.75 — not a whole number
• 142 ÷ 9 = 15.778 — not a whole number
• 142 ÷ 10 = 14.2 — not a whole number
• 142 ÷ 11 = 12.909 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 71 and 142.

Prime factorization of 142

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

The primes you divided by give 142 = 2 × 71. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 142

• 142 is a composite number.
• The sum of all its factors is 216; the sum of its proper factors (excluding 142) is 74, which makes it a deficient number (its proper factors add up to less than itself).
• 142 is not a perfect square, so its factors pair up evenly.
• Multiples of 142 include 284, 426, 568, 710 and so on.

Factors vs. multiples

Factors of 142 are the numbers that divide into it; multiples of 142 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.