Q: What are the prime factors of the number 962,712?

 A: 2, 3, 4457

Why are those the prime factors of the number 962,712?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 962,712

962,712
Factor Arrows
2481,356
Factor Arrows
2240,678
Factor Arrows
2120,339
Factor Arrows
340,113
Factor Arrows
313,371
Factor Arrows
34,457

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 4457

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 4,457 = 962,712

This can also be written as 23 x 33 x 4,4571 = 962,712

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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