Prime Factorization of 8,946
Answer
8,946 = 2 × 32 × 7 × 71
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 8,946 | 2 | 4,473 |
| 2 | 4,473 | 3 | 1,491 |
| 3 | 1,491 | 3 | 497 |
| 4 | 497 | 7 | 71 |
| 5 | 71 | 71 | 1 |
Prime Factors
The prime factors of 8,946 are: 2, 3, 7, 71
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Understanding Prime Factorization
The prime factorization of 8,946 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 8,946
- Break it down into its prime factors: 2, 3, 7, 71
- Final expression: 2 × 32 × 7 × 71