Q: What are the prime factors of the number 10,620,416?

 A: 2, 20743

Why are those the prime factors of the number 10,620,416?

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 10,620,416

10,620,416
Factor Arrows
25,310,208
Factor Arrows
22,655,104
Factor Arrows
21,327,552
Factor Arrows
2663,776
Factor Arrows
2331,888
Factor Arrows
2165,944
Factor Arrows
282,972
Factor Arrows
241,486
Factor Arrows
220,743

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, 20743

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 2 x 2 x 2 x 20,743 = 10,620,416

This can also be written as 29 x 20,7431 = 10,620,416

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


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