Q: What are the prime factors of the number 966,024?

 A: 2, 3, 13417

Why are those the prime factors of the number 966,024?

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 966,024

966,024
Factor Arrows
2483,012
Factor Arrows
2241,506
Factor Arrows
2120,753
Factor Arrows
340,251
Factor Arrows
313,417

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, 13417

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 13,417 = 966,024

This can also be written as 23 x 32 x 13,4171 = 966,024

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


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