Q: What are the prime factors of the number 63,245,980?

 A: 2, 5, 7, 271, 1667

Why are those the prime factors of the number 63,245,980?

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 63,245,980

63,245,980
Factor Arrows
231,622,990
Factor Arrows
215,811,495
Factor Arrows
53,162,299
Factor Arrows
7451,757
Factor Arrows
2711,667

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, 5, 7, 271, 1667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 271 x 1,667 = 63,245,980

This can also be written as 22 x 51 x 71 x 2711 x 1,6671 = 63,245,980

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


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