Q: What are the prime factors of the number 53,063,451?

 A: 3, 7, 280759

Why are those the prime factors of the number 53,063,451?

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 53,063,451

53,063,451
Factor Arrows
317,687,817
Factor Arrows
35,895,939
Factor Arrows
31,965,313
Factor Arrows
7280,759

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:

3, 7, 280759

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 7 x 280,759 = 53,063,451

This can also be written as 33 x 71 x 280,7591 = 53,063,451

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


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