Q: What are the prime factors of the number 57,375,936?

 A: 2, 3, 99611

Why are those the prime factors of the number 57,375,936?

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 57,375,936

57,375,936
Factor Arrows
228,687,968
Factor Arrows
214,343,984
Factor Arrows
27,171,992
Factor Arrows
23,585,996
Factor Arrows
21,792,998
Factor Arrows
2896,499
Factor Arrows
3298,833
Factor Arrows
399,611

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, 99611

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 3 x 3 x 99,611 = 57,375,936

This can also be written as 26 x 32 x 99,6111 = 57,375,936

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


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