Q: What are the prime factors of the number 28,902,084?

 A: 2, 3, 2408507

Why are those the prime factors of the number 28,902,084?

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 28,902,084

28,902,084
Factor Arrows
214,451,042
Factor Arrows
27,225,521
Factor Arrows
32,408,507

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, 2408507

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 2,408,507 = 28,902,084

This can also be written as 22 x 31 x 2,408,5071 = 28,902,084

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


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