Q: What are the prime factors of the number 976,280?

 A: 2, 5, 24407

Why are those the prime factors of the number 976,280?

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 976,280

976,280
Factor Arrows
2488,140
Factor Arrows
2244,070
Factor Arrows
2122,035
Factor Arrows
524,407

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, 5, 24407

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 24,407 = 976,280

This can also be written as 23 x 51 x 24,4071 = 976,280

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


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