Q: What are the prime factors of the number 152,554,185?

 A: 3, 5, 7, 1993

Why are those the prime factors of the number 152,554,185?

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 152,554,185

152,554,185
Factor Arrows
350,851,395
Factor Arrows
316,950,465
Factor Arrows
35,650,155
Factor Arrows
31,883,385
Factor Arrows
3627,795
Factor Arrows
3209,265
Factor Arrows
369,755
Factor Arrows
513,951
Factor Arrows
71,993

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, 7, 1993

We can check our work by multiplying all of the prime factors together: 3 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 1,993 = 152,554,185

This can also be written as 37 x 51 x 71 x 1,9931 = 152,554,185

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


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