Q: What are the prime factors of the number 63,621,500?

 A: 2, 5, 19, 37, 181

Why are those the prime factors of the number 63,621,500?

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 63,621,500

63,621,500
Factor Arrows
231,810,750
Factor Arrows
215,905,375
Factor Arrows
53,181,075
Factor Arrows
5636,215
Factor Arrows
5127,243
Factor Arrows
196,697
Factor Arrows
37181

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, 19, 37, 181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 19 x 37 x 181 = 63,621,500

This can also be written as 22 x 53 x 191 x 371 x 1811 = 63,621,500

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


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