Q: What are the prime factors of the number 10,108,888?

 A: 2, 101, 12511

Why are those the prime factors of the number 10,108,888?

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 10,108,888

10,108,888
Factor Arrows
25,054,444
Factor Arrows
22,527,222
Factor Arrows
21,263,611
Factor Arrows
10112,511

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, 101, 12511

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 101 x 12,511 = 10,108,888

This can also be written as 23 x 1011 x 12,5111 = 10,108,888

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


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