Q: What are the prime factors of the number 63,261,075?

 A: 3, 5, 107, 7883

Why are those the prime factors of the number 63,261,075?

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 63,261,075

63,261,075
Factor Arrows
321,087,025
Factor Arrows
54,217,405
Factor Arrows
5843,481
Factor Arrows
1077,883

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, 5, 107, 7883

We can check our work by multiplying all of the prime factors together: 3 x 5 x 5 x 107 x 7,883 = 63,261,075

This can also be written as 31 x 52 x 1071 x 7,8831 = 63,261,075

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


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