Prime Factors of 828
The prime factors of 828 are: 2 × 2 × 3 × 3 × 23.
What is Prime Factorization?
Prime factorization is the process of breaking down a composite number into a product of prime numbers that multiply to give the original number.
How to Find the Prime Factors of 828?
Start dividing 828 by the smallest prime number 2 and continue dividing by primes in increasing order until the quotient becomes 1. The divisors used are the prime factors.
Prime Factors Summary for 828
The number 828 has 5 prime factors in total.
There are 3 unique prime factors: 2, 3, 23.
Prime Factorization Expressed with Exponents
The prime factorization of 828 expressed with exponents is:
2^2 × 3^2 × 23
Step-by-Step Prime Factorization of 828:
| Step | Divide By | Result |
|---|---|---|
| 1 | 2 | 414 |
| 2 | 2 | 207 |
| 3 | 3 | 69 |
| 4 | 3 | 23 |
| 5 | 23 | 1 |
Examples of Prime Factorization
| Number | Prime Factors |
|---|---|
| 12 | 2 × 2 × 3 |
| 45 | 3 × 3 × 5 |
| 60 | 2 × 2 × 3 × 5 |
| 100 | 2 × 2 × 5 × 5 |
| 231 | 3 × 7 × 11 |