Q: What are the prime factors of the number 10,179,776?

 A: 2, 159059

Why are those the prime factors of the number 10,179,776?

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 10,179,776

10,179,776
Factor Arrows
25,089,888
Factor Arrows
22,544,944
Factor Arrows
21,272,472
Factor Arrows
2636,236
Factor Arrows
2318,118
Factor Arrows
2159,059

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, 159059

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 159,059 = 10,179,776

This can also be written as 26 x 159,0591 = 10,179,776

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


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