Factors of 104

How to find the factors of 104

Test every whole number from 1 up to the square root of 104 (√104 ≈ 10.198). Each number that divides evenly gives you two factors at once: the divisor and the quotient.

• 104 ÷ 1 = 104 — so 1 and 104 are factors
• 104 ÷ 2 = 52 — so 2 and 52 are factors
• 104 ÷ 3 = 34.667 — not a whole number
• 104 ÷ 4 = 26 — so 4 and 26 are factors
• 104 ÷ 5 = 20.8 — not a whole number
• 104 ÷ 6 = 17.333 — not a whole number
• 104 ÷ 7 = 14.857 — not a whole number
• 104 ÷ 8 = 13 — so 8 and 13 are factors
• 104 ÷ 9 = 11.556 — not a whole number
• 104 ÷ 10 = 10.4 — not a whole number

Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 13, 26, 52 and 104.

Prime factorization of 104

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

The primes you divided by give 104 = 2³ × 13. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) = 8.

Properties of 104

• 104 is a composite number.
• The sum of all its factors is 210; the sum of its proper factors (excluding 104) is 106, which makes it a abundant number (its proper factors add up to more than itself).
• 104 is not a perfect square, so its factors pair up evenly.
• Multiples of 104 include 208, 312, 416, 520 and so on.

Factors vs. multiples

Factors of 104 are the numbers that divide into it; multiples of 104 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.