Q: What are the prime factors of the number 150,384,585?

 A: 3, 5, 13, 53, 14551

Why are those the prime factors of the number 150,384,585?

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 150,384,585

150,384,585
Factor Arrows
350,128,195
Factor Arrows
510,025,639
Factor Arrows
13771,203
Factor Arrows
5314,551

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:

3, 5, 13, 53, 14551

We can check our work by multiplying all of the prime factors together: 3 x 5 x 13 x 53 x 14,551 = 150,384,585

This can also be written as 31 x 51 x 131 x 531 x 14,5511 = 150,384,585

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


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