Factors of 442

How to find the factors of 442

Test every whole number from 1 up to the square root of 442 (√442 ≈ 21.024). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 442 ÷ 1 = 442 — so 1 and 442 are factors
• 442 ÷ 2 = 221 — so 2 and 221 are factors
• 442 ÷ 3 = 147.333 — not a whole number
• 442 ÷ 4 = 110.5 — not a whole number
• 442 ÷ 5 = 88.4 — not a whole number
• 442 ÷ 6 = 73.667 — not a whole number
• 442 ÷ 7 = 63.143 — not a whole number
• 442 ÷ 8 = 55.25 — not a whole number
• 442 ÷ 9 = 49.111 — not a whole number
• 442 ÷ 10 = 44.2 — not a whole number
• 442 ÷ 11 = 40.182 — not a whole number
• 442 ÷ 12 = 36.833 — not a whole number
• 442 ÷ 13 = 34 — so 13 and 34 are factors
• 442 ÷ 14 = 31.571 — not a whole number
• 442 ÷ 15 = 29.467 — not a whole number
• 442 ÷ 16 = 27.625 — not a whole number
• 442 ÷ 17 = 26 — so 17 and 26 are factors
• 442 ÷ 18 = 24.556 — not a whole number
• 442 ÷ 19 = 23.263 — not a whole number
• 442 ÷ 20 = 22.1 — not a whole number
• 442 ÷ 21 = 21.048 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 13, 17, 26, 34, 221 and 442.

Prime factorization of 442

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

The primes you divided by give 442 = 2 × 13 × 17. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) × (1 + 1) = 8.

Properties of 442

• 442 is a composite number.
• The sum of all its factors is 756; the sum of its proper factors (excluding 442) is 314, which makes it a deficient number (its proper factors add up to less than itself).
• 442 is not a perfect square, so its factors pair up evenly.
• Multiples of 442 include 884, 1,326, 1,768, 2,210 and so on.

Factors vs. multiples

Factors of 442 are the numbers that divide into it; multiples of 442 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.