Q: What are the prime factors of the number 50,104,500?

 A: 2, 3, 5, 33403

Why are those the prime factors of the number 50,104,500?

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 50,104,500

50,104,500
Factor Arrows
225,052,250
Factor Arrows
212,526,125
Factor Arrows
34,175,375
Factor Arrows
5835,075
Factor Arrows
5167,015
Factor Arrows
533,403

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, 33403

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 33,403 = 50,104,500

This can also be written as 22 x 31 x 53 x 33,4031 = 50,104,500

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


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