Q: What are the prime factors of the number 10,615,376?

 A: 2, 19, 34919

Why are those the prime factors of the number 10,615,376?

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 10,615,376

10,615,376
Factor Arrows
25,307,688
Factor Arrows
22,653,844
Factor Arrows
21,326,922
Factor Arrows
2663,461
Factor Arrows
1934,919

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, 19, 34919

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 19 x 34,919 = 10,615,376

This can also be written as 24 x 191 x 34,9191 = 10,615,376

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


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