Factors of 736

How to find the factors of 736

Test every whole number from 1 up to the square root of 736 (√736 ≈ 27.129). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 736 ÷ 1 = 736 — so 1 and 736 are factors
• 736 ÷ 2 = 368 — so 2 and 368 are factors
• 736 ÷ 3 = 245.333 — not a whole number
• 736 ÷ 4 = 184 — so 4 and 184 are factors
• 736 ÷ 5 = 147.2 — not a whole number
• 736 ÷ 6 = 122.667 — not a whole number
• 736 ÷ 7 = 105.143 — not a whole number
• 736 ÷ 8 = 92 — so 8 and 92 are factors
• 736 ÷ 9 = 81.778 — not a whole number
• 736 ÷ 10 = 73.6 — not a whole number
• 736 ÷ 11 = 66.909 — not a whole number
• 736 ÷ 12 = 61.333 — not a whole number
• 736 ÷ 13 = 56.615 — not a whole number
• 736 ÷ 14 = 52.571 — not a whole number
• 736 ÷ 15 = 49.067 — not a whole number
• 736 ÷ 16 = 46 — so 16 and 46 are factors
• 736 ÷ 17 = 43.294 — not a whole number
• 736 ÷ 18 = 40.889 — not a whole number
• 736 ÷ 19 = 38.737 — not a whole number
• 736 ÷ 20 = 36.8 — not a whole number
• 736 ÷ 21 = 35.048 — not a whole number
• 736 ÷ 22 = 33.455 — not a whole number
• 736 ÷ 23 = 32 — so 23 and 32 are factors
• 736 ÷ 24 = 30.667 — not a whole number
• 736 ÷ 25 = 29.44 — not a whole number
• 736 ÷ 26 = 28.308 — not a whole number
• 736 ÷ 27 = 27.259 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368 and 736.

Prime factorization of 736

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

The primes you divided by give 736 = 2⁵ × 23. From the exponents you can also count the factors without listing them: (5 + 1) × (1 + 1) = 12.

Properties of 736

• 736 is a composite number.
• The sum of all its factors is 1,512; the sum of its proper factors (excluding 736) is 776, which makes it a abundant number (its proper factors add up to more than itself).
• 736 is not a perfect square, so its factors pair up evenly.
• Multiples of 736 include 1,472, 2,208, 2,944, 3,680 and so on.

Factors vs. multiples

Factors of 736 are the numbers that divide into it; multiples of 736 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.