Q: What are the prime factors of the number 63,661,140?

 A: 2, 3, 5, 13099

Why are those the prime factors of the number 63,661,140?

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 63,661,140

63,661,140
Factor Arrows
231,830,570
Factor Arrows
215,915,285
Factor Arrows
35,305,095
Factor Arrows
31,768,365
Factor Arrows
3589,455
Factor Arrows
3196,485
Factor Arrows
365,495
Factor Arrows
513,099

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, 5, 13099

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 13,099 = 63,661,140

This can also be written as 22 x 35 x 51 x 13,0991 = 63,661,140

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


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