Q: What are the prime factors of the number 6,314,632?

 A: 2, 53, 281

Why are those the prime factors of the number 6,314,632?

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 6,314,632

6,314,632
Factor Arrows
23,157,316
Factor Arrows
21,578,658
Factor Arrows
2789,329
Factor Arrows
5314,893
Factor Arrows
53281

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, 53, 281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 53 x 53 x 281 = 6,314,632

This can also be written as 23 x 532 x 2811 = 6,314,632

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


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