Q: What are the prime factors of the number 65,415,312?

 A: 2, 3, 23, 19751

Why are those the prime factors of the number 65,415,312?

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 65,415,312

65,415,312
Factor Arrows
232,707,656
Factor Arrows
216,353,828
Factor Arrows
28,176,914
Factor Arrows
24,088,457
Factor Arrows
31,362,819
Factor Arrows
3454,273
Factor Arrows
2319,751

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, 23, 19751

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 23 x 19,751 = 65,415,312

This can also be written as 24 x 32 x 231 x 19,7511 = 65,415,312

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


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