How to find the factors of 33
Test every whole number from 1 up to the square root of 33 (√33 ≈ 5.745). Each number that divides evenly gives you two factors at once: the divisor and the quotient.
- 33 ÷ 1 = 33 — so 1 and 33 are factors
- 33 ÷ 2 = 16.5 — not a whole number
- 33 ÷ 3 = 11 — so 3 and 11 are factors
- 33 ÷ 4 = 8.25 — not a whole number
- 33 ÷ 5 = 6.6 — not a whole number
Collecting both numbers from every successful division gives the complete list: 1, 3, 11 and 33.
Prime factorization of 33
Divide by the smallest prime that fits, and keep going until the quotient is 1:
The primes you divided by give 33 = 3 × 11. From the exponents you can also count the factors without listing them: (1 + 1) × (1 + 1) = 4.
Properties of 33
- 33 is a composite number.
- The sum of all its factors is 48; the sum of its proper factors (excluding 33) is 15, which makes it a deficient number (its proper factors add up to less than itself).
- 33 is not a perfect square, so its factors pair up evenly.
- Multiples of 33 include 66, 99, 132, 165 and so on.
Factors vs. multiples
Factors of 33 are the numbers that divide into it; multiples of 33 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 33?
The factors of 33 are 1, 3, 11 and 33. Each of these divides 33 with no remainder.
How many factors does 33 have?
33 has 4 positive factors, which form 2 factor pairs. Counting negative factors as well doubles that to 8.
What is the prime factorization of 33?
33 = 3 × 11. Its distinct prime factors are 3 and 11.
Is 33 a prime number?
No. 33 is composite because it has 4 factors, more than the two a prime number has.