Factors of 262

How to find the factors of 262

Test every whole number from 1 up to the square root of 262 (√262 ≈ 16.186). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 262 ÷ 1 = 262 — so 1 and 262 are factors
• 262 ÷ 2 = 131 — so 2 and 131 are factors
• 262 ÷ 3 = 87.333 — not a whole number
• 262 ÷ 4 = 65.5 — not a whole number
• 262 ÷ 5 = 52.4 — not a whole number
• 262 ÷ 6 = 43.667 — not a whole number
• 262 ÷ 7 = 37.429 — not a whole number
• 262 ÷ 8 = 32.75 — not a whole number
• 262 ÷ 9 = 29.111 — not a whole number
• 262 ÷ 10 = 26.2 — not a whole number
• 262 ÷ 11 = 23.818 — not a whole number
• 262 ÷ 12 = 21.833 — not a whole number
• 262 ÷ 13 = 20.154 — not a whole number
• 262 ÷ 14 = 18.714 — not a whole number
• 262 ÷ 15 = 17.467 — not a whole number
• 262 ÷ 16 = 16.375 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 131 and 262.

Prime factorization of 262

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

The primes you divided by give 262 = 2 × 131. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.

Properties of 262

• 262 is a composite number.
• The sum of all its factors is 396; the sum of its proper factors (excluding 262) is 134, which makes it a deficient number (its proper factors add up to less than itself).
• 262 is not a perfect square, so its factors pair up evenly.
• Multiples of 262 include 524, 786, 1,048, 1,310 and so on.

Factors vs. multiples

Factors of 262 are the numbers that divide into it; multiples of 262 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.