Q: What are the prime factors of the number 50,061,000?

 A: 2, 3, 5, 11, 37, 41

Why are those the prime factors of the number 50,061,000?

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 50,061,000

50,061,000
Factor Arrows
225,030,500
Factor Arrows
212,515,250
Factor Arrows
26,257,625
Factor Arrows
32,085,875
Factor Arrows
5417,175
Factor Arrows
583,435
Factor Arrows
516,687
Factor Arrows
111,517
Factor Arrows
3741

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, 11, 37, 41

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 5 x 5 x 11 x 37 x 41 = 50,061,000

This can also be written as 23 x 31 x 53 x 111 x 371 x 411 = 50,061,000

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


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