Q: What are the prime factors of the number 314,645,436?

 A: 2, 3, 7, 1248593

Why are those the prime factors of the number 314,645,436?

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 314,645,436

314,645,436
Factor Arrows
2157,322,718
Factor Arrows
278,661,359
Factor Arrows
326,220,453
Factor Arrows
38,740,151
Factor Arrows
71,248,593

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, 7, 1248593

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 7 x 1,248,593 = 314,645,436

This can also be written as 22 x 32 x 71 x 1,248,5931 = 314,645,436

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


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