Q: What are the prime factors of the number 101,421,110?

 A: 2, 5, 7, 1448873

Why are those the prime factors of the number 101,421,110?

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 101,421,110

101,421,110
Factor Arrows
250,710,555
Factor Arrows
510,142,111
Factor Arrows
71,448,873

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, 5, 7, 1448873

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 1,448,873 = 101,421,110

This can also be written as 21 x 51 x 71 x 1,448,8731 = 101,421,110

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


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