Q: What are the prime factors of the number 950,084?

 A: 2, 23, 449

Why are those the prime factors of the number 950,084?

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 950,084

950,084
Factor Arrows
2475,042
Factor Arrows
2237,521
Factor Arrows
2310,327
Factor Arrows
23449

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, 23, 449

We can check our work by multiplying all of the prime factors together: 2 x 2 x 23 x 23 x 449 = 950,084

This can also be written as 22 x 232 x 4491 = 950,084

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


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