How to find the factors of 88
Test every whole number from 1 up to the square root of 88 (√88 ≈ 9.381). Each number that divides evenly gives you two factors at once: the divisor and the quotient.
- 88 ÷ 1 = 88 — so 1 and 88 are factors
- 88 ÷ 2 = 44 — so 2 and 44 are factors
- 88 ÷ 3 = 29.333 — not a whole number
- 88 ÷ 4 = 22 — so 4 and 22 are factors
- 88 ÷ 5 = 17.6 — not a whole number
- 88 ÷ 6 = 14.667 — not a whole number
- 88 ÷ 7 = 12.571 — not a whole number
- 88 ÷ 8 = 11 — so 8 and 11 are factors
- 88 ÷ 9 = 9.778 — not a whole number
Collecting both numbers from every successful division gives the complete list: 1, 2, 4, 8, 11, 22, 44 and 88.
Prime factorization of 88
Divide by the smallest prime that fits, and keep going until the quotient is 1:
The primes you divided by give 88 = 2³ × 11. From the exponents you can also count the factors without listing them: (3 + 1) × (1 + 1) = 8.
Properties of 88
- 88 is a composite number.
- The sum of all its factors is 180; the sum of its proper factors (excluding 88) is 92, which makes it a abundant number (its proper factors add up to more than itself).
- 88 is not a perfect square, so its factors pair up evenly.
- Multiples of 88 include 176, 264, 352, 440 and so on.
Factors vs. multiples
Factors of 88 are the numbers that divide into it; multiples of 88 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.
Frequently asked questions
What are the factors of 88?
The factors of 88 are 1, 2, 4, 8, 11, 22, 44 and 88. Each of these divides 88 with no remainder.
How many factors does 88 have?
88 has 8 positive factors, which form 4 factor pairs. Counting negative factors as well doubles that to 16.
What is the prime factorization of 88?
88 = 2³ × 11. Its distinct prime factors are 2 and 11.
Is 88 a prime number?
No. 88 is composite because it has 8 factors, more than the two a prime number has.