Q: What are the prime factors of the number 10,480,768?

 A: 2, 37, 2213

Why are those the prime factors of the number 10,480,768?

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 10,480,768

10,480,768
Factor Arrows
25,240,384
Factor Arrows
22,620,192
Factor Arrows
21,310,096
Factor Arrows
2655,048
Factor Arrows
2327,524
Factor Arrows
2163,762
Factor Arrows
281,881
Factor Arrows
372,213

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, 37, 2213

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 37 x 2,213 = 10,480,768

This can also be written as 27 x 371 x 2,2131 = 10,480,768

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


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