Q: What are the prime factors of the number 151,312,304?

 A: 2, 11, 13, 41, 1613

Why are those the prime factors of the number 151,312,304?

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 151,312,304

151,312,304
Factor Arrows
275,656,152
Factor Arrows
237,828,076
Factor Arrows
218,914,038
Factor Arrows
29,457,019
Factor Arrows
11859,729
Factor Arrows
1366,133
Factor Arrows
411,613

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, 11, 13, 41, 1613

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 11 x 13 x 41 x 1,613 = 151,312,304

This can also be written as 24 x 111 x 131 x 411 x 1,6131 = 151,312,304

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


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