Q: What are the prime factors of the number 10,213,112?

 A: 2, 7, 13, 14029

Why are those the prime factors of the number 10,213,112?

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 10,213,112

10,213,112
Factor Arrows
25,106,556
Factor Arrows
22,553,278
Factor Arrows
21,276,639
Factor Arrows
7182,377
Factor Arrows
1314,029

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, 7, 13, 14029

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 7 x 13 x 14,029 = 10,213,112

This can also be written as 23 x 71 x 131 x 14,0291 = 10,213,112

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


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