Q: What are the prime factors of the number 976,276?

 A: 2, 7, 17, 293

Why are those the prime factors of the number 976,276?

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 976,276

976,276
Factor Arrows
2488,138
Factor Arrows
2244,069
Factor Arrows
734,867
Factor Arrows
74,981
Factor Arrows
17293

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, 7, 17, 293

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 7 x 17 x 293 = 976,276

This can also be written as 22 x 72 x 171 x 2931 = 976,276

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


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