Q: What are the prime factors of the number 67,207,648?

 A: 2, 2100239

Why are those the prime factors of the number 67,207,648?

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 67,207,648

67,207,648
Factor Arrows
233,603,824
Factor Arrows
216,801,912
Factor Arrows
28,400,956
Factor Arrows
24,200,478
Factor Arrows
22,100,239

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, 2100239

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2,100,239 = 67,207,648

This can also be written as 25 x 2,100,2391 = 67,207,648

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


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