Q: What are the prime factors of the number 104,043,150?

 A: 2, 3, 5, 77069

Why are those the prime factors of the number 104,043,150?

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 104,043,150

104,043,150
Factor Arrows
252,021,575
Factor Arrows
317,340,525
Factor Arrows
35,780,175
Factor Arrows
31,926,725
Factor Arrows
5385,345
Factor Arrows
577,069

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, 77069

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 5 x 77,069 = 104,043,150

This can also be written as 21 x 33 x 52 x 77,0691 = 104,043,150

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


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