Q: What are the prime factors of the number 53,176,807?

 A: 29, 37, 49559

Why are those the prime factors of the number 53,176,807?

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 53,176,807

53,176,807
Factor Arrows
291,833,683
Factor Arrows
3749,559

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:

29, 37, 49559

We can check our work by multiplying all of the prime factors together: 29 x 37 x 49,559 = 53,176,807

This can also be written as 291 x 371 x 49,5591 = 53,176,807

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


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