Q: What are the prime factors of the number 50,108,000?

 A: 2, 5, 12527

Why are those the prime factors of the number 50,108,000?

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 50,108,000

50,108,000
Factor Arrows
225,054,000
Factor Arrows
212,527,000
Factor Arrows
26,263,500
Factor Arrows
23,131,750
Factor Arrows
21,565,875
Factor Arrows
5313,175
Factor Arrows
562,635
Factor Arrows
512,527

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, 5, 12527

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 5 x 5 x 5 x 12,527 = 50,108,000

This can also be written as 25 x 53 x 12,5271 = 50,108,000

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


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