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

 A: 2, 3, 11, 61

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

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 64,416

64,416
Factor Arrows
232,208
Factor Arrows
216,104
Factor Arrows
28,052
Factor Arrows
24,026
Factor Arrows
22,013
Factor Arrows
3671
Factor Arrows
1161

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, 11, 61

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 3 x 11 x 61 = 64,416

This can also be written as 25 x 31 x 111 x 611 = 64,416

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


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