Q: What are the prime factors of the number 63,632,300?

 A: 2, 5, 233, 2731

Why are those the prime factors of the number 63,632,300?

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 63,632,300

63,632,300
Factor Arrows
231,816,150
Factor Arrows
215,908,075
Factor Arrows
53,181,615
Factor Arrows
5636,323
Factor Arrows
2332,731

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, 233, 2731

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 233 x 2,731 = 63,632,300

This can also be written as 22 x 52 x 2331 x 2,7311 = 63,632,300

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


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