Q: What are the prime factors of the number 64,682,416?

 A: 2, 17, 397, 599

Why are those the prime factors of the number 64,682,416?

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 64,682,416

64,682,416
Factor Arrows
232,341,208
Factor Arrows
216,170,604
Factor Arrows
28,085,302
Factor Arrows
24,042,651
Factor Arrows
17237,803
Factor Arrows
397599

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, 17, 397, 599

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 17 x 397 x 599 = 64,682,416

This can also be written as 24 x 171 x 3971 x 5991 = 64,682,416

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


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