Q: What are the prime factors of the number 53,171,586?

 A: 2, 3, 13, 75743

Why are those the prime factors of the number 53,171,586?

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 53,171,586

53,171,586
Factor Arrows
226,585,793
Factor Arrows
38,861,931
Factor Arrows
32,953,977
Factor Arrows
3984,659
Factor Arrows
1375,743

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, 13, 75743

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 13 x 75,743 = 53,171,586

This can also be written as 21 x 33 x 131 x 75,7431 = 53,171,586

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


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