Q: What are the prime factors of the number 612,470,048?

 A: 2, 67, 285667

Why are those the prime factors of the number 612,470,048?

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 612,470,048

612,470,048
Factor Arrows
2306,235,024
Factor Arrows
2153,117,512
Factor Arrows
276,558,756
Factor Arrows
238,279,378
Factor Arrows
219,139,689
Factor Arrows
67285,667

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, 67, 285667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 67 x 285,667 = 612,470,048

This can also be written as 25 x 671 x 285,6671 = 612,470,048

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


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