Q: What are the prime factors of the number 4,987,350?

 A: 2, 3, 5, 11083

Why are those the prime factors of the number 4,987,350?

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 4,987,350

4,987,350
Factor Arrows
22,493,675
Factor Arrows
3831,225
Factor Arrows
3277,075
Factor Arrows
555,415
Factor Arrows
511,083

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, 5, 11083

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 5 x 11,083 = 4,987,350

This can also be written as 21 x 32 x 52 x 11,0831 = 4,987,350

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


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