Q: What are the prime factors of the number 8,473,984?

 A: 2, 239, 277

Why are those the prime factors of the number 8,473,984?

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 8,473,984

8,473,984
Factor Arrows
24,236,992
Factor Arrows
22,118,496
Factor Arrows
21,059,248
Factor Arrows
2529,624
Factor Arrows
2264,812
Factor Arrows
2132,406
Factor Arrows
266,203
Factor Arrows
239277

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, 239, 277

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 239 x 277 = 8,473,984

This can also be written as 27 x 2391 x 2771 = 8,473,984

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


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