Q: What are the prime factors of the number 10,022,220?

 A: 2, 3, 5, 13, 4283

Why are those the prime factors of the number 10,022,220?

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 10,022,220

10,022,220
Factor Arrows
25,011,110
Factor Arrows
22,505,555
Factor Arrows
3835,185
Factor Arrows
3278,395
Factor Arrows
555,679
Factor Arrows
134,283

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, 13, 4283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 13 x 4,283 = 10,022,220

This can also be written as 22 x 32 x 51 x 131 x 4,2831 = 10,022,220

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


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