Q: What are the prime factors of the number 104,754,230?

 A: 2, 5, 7, 1496489

Why are those the prime factors of the number 104,754,230?

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 104,754,230

104,754,230
Factor Arrows
252,377,115
Factor Arrows
510,475,423
Factor Arrows
71,496,489

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, 1496489

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 1,496,489 = 104,754,230

This can also be written as 21 x 51 x 71 x 1,496,4891 = 104,754,230

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


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