Q: What are the prime factors of the number 216,145,464?

 A: 2, 3, 9006061

Why are those the prime factors of the number 216,145,464?

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 216,145,464

216,145,464
Factor Arrows
2108,072,732
Factor Arrows
254,036,366
Factor Arrows
227,018,183
Factor Arrows
39,006,061

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, 9006061

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 9,006,061 = 216,145,464

This can also be written as 23 x 31 x 9,006,0611 = 216,145,464

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


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