Q: What are the prime factors of the number 104,512,450?

 A: 2, 5, 7, 298607

Why are those the prime factors of the number 104,512,450?

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 104,512,450

104,512,450
Factor Arrows
252,256,225
Factor Arrows
510,451,245
Factor Arrows
52,090,249
Factor Arrows
7298,607

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, 298607

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 7 x 298,607 = 104,512,450

This can also be written as 21 x 52 x 71 x 298,6071 = 104,512,450

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


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