Q: What are the prime factors of the number 15,153,400?

 A: 2, 5, 75767

Why are those the prime factors of the number 15,153,400?

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 15,153,400

15,153,400
Factor Arrows
27,576,700
Factor Arrows
23,788,350
Factor Arrows
21,894,175
Factor Arrows
5378,835
Factor Arrows
575,767

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, 5, 75767

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 5 x 5 x 75,767 = 15,153,400

This can also be written as 23 x 52 x 75,7671 = 15,153,400

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


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