Q: What are the prime factors of the number 18,408,285?

 A: 3, 5, 7, 58439

Why are those the prime factors of the number 18,408,285?

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 18,408,285

18,408,285
Factor Arrows
36,136,095
Factor Arrows
32,045,365
Factor Arrows
5409,073
Factor Arrows
758,439

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:

3, 5, 7, 58439

We can check our work by multiplying all of the prime factors together: 3 x 3 x 5 x 7 x 58,439 = 18,408,285

This can also be written as 32 x 51 x 71 x 58,4391 = 18,408,285

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


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