Q: What are the prime factors of the number 15,095,024?

 A: 2, 7, 134777

Why are those the prime factors of the number 15,095,024?

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 15,095,024

15,095,024
Factor Arrows
27,547,512
Factor Arrows
23,773,756
Factor Arrows
21,886,878
Factor Arrows
2943,439
Factor Arrows
7134,777

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, 7, 134777

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 134,777 = 15,095,024

This can also be written as 24 x 71 x 134,7771 = 15,095,024

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


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