Q: What are the prime factors of the number 10,054,320?

 A: 2, 3, 5, 41893

Why are those the prime factors of the number 10,054,320?

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 10,054,320

10,054,320
Factor Arrows
25,027,160
Factor Arrows
22,513,580
Factor Arrows
21,256,790
Factor Arrows
2628,395
Factor Arrows
3209,465
Factor Arrows
541,893

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, 5, 41893

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 5 x 41,893 = 10,054,320

This can also be written as 24 x 31 x 51 x 41,8931 = 10,054,320

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


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