Q: What are the prime factors of the number 108,150,812?

 A: 2, 7, 11, 19, 18481

Why are those the prime factors of the number 108,150,812?

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 108,150,812

108,150,812
Factor Arrows
254,075,406
Factor Arrows
227,037,703
Factor Arrows
73,862,529
Factor Arrows
11351,139
Factor Arrows
1918,481

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, 11, 19, 18481

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 11 x 19 x 18,481 = 108,150,812

This can also be written as 22 x 71 x 111 x 191 x 18,4811 = 108,150,812

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


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