Q: What are the prime factors of the number 5,858,904?

 A: 2, 3, 244121

Why are those the prime factors of the number 5,858,904?

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 5,858,904

5,858,904
Factor Arrows
22,929,452
Factor Arrows
21,464,726
Factor Arrows
2732,363
Factor Arrows
3244,121

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, 244121

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 244,121 = 5,858,904

This can also be written as 23 x 31 x 244,1211 = 5,858,904

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


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