Factors of 84
There are 12 factors of 84 — the full list is below, with factor pairs, prime factorization, and divisibility notes.
Factors of 84
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Factor pairs of 84
- 1 × 84
- 2 × 42
- 3 × 28
- 4 × 21
- 6 × 14
- 7 × 12
Prime factorization of 84
84 = 2² × 3 × 7
Number facts
- 84 is a composite number.
- 84 has 12 factors.
- 84 is not a perfect square.
- The sum of all factors of 84 is 224.
Divisibility rules that apply to 84
- 84 is divisible by 2 because it ends in an even digit (0, 2, 4, 6, or 8).
- 84 is divisible by 3 because the sum of its digits (12) is divisible by 3.
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How the factors of 84 are calculated
To find the factors of 84, every whole number from 1 up to the square root of 84(about 9.17) is tested for even division. 84 is even, and it divides evenly by 2, 3, 4, 6, among others. Written as a product of primes, 84 = 2² × 3 × 7, which confirms every factor above is a combination of those prime building blocks.
Frequently asked questions about 84
How many factors does 84 have?
84 has 12 factors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Is 84 a prime number?
No. 84 is composite because it has factors other than 1 and itself.
What are the factor pairs of 84?
The factor pairs of 84 are 1 × 84, 2 × 42, 3 × 28, 4 × 21, 6 × 14, 7 × 12.
What is the prime factorization of 84?
The prime factorization of 84 is 2² × 3 × 7.