Q: What are the prime factors of the number 67,100,440?

 A: 2, 5, 11, 152501

Why are those the prime factors of the number 67,100,440?

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 67,100,440

67,100,440
Factor Arrows
233,550,220
Factor Arrows
216,775,110
Factor Arrows
28,387,555
Factor Arrows
51,677,511
Factor Arrows
11152,501

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, 11, 152501

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 11 x 152,501 = 67,100,440

This can also be written as 23 x 51 x 111 x 152,5011 = 67,100,440

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


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