Q: What are the prime factors of the number 10,430,016?

 A: 2, 3, 54323

Why are those the prime factors of the number 10,430,016?

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 10,430,016

10,430,016
Factor Arrows
25,215,008
Factor Arrows
22,607,504
Factor Arrows
21,303,752
Factor Arrows
2651,876
Factor Arrows
2325,938
Factor Arrows
2162,969
Factor Arrows
354,323

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, 3, 54323

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 3 x 54,323 = 10,430,016

This can also be written as 26 x 31 x 54,3231 = 10,430,016

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


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