Q: What are the prime factors of the number 50,470,220?

 A: 2, 5, 37, 241, 283

Why are those the prime factors of the number 50,470,220?

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 50,470,220

50,470,220
Factor Arrows
225,235,110
Factor Arrows
212,617,555
Factor Arrows
52,523,511
Factor Arrows
3768,203
Factor Arrows
241283

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, 37, 241, 283

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 37 x 241 x 283 = 50,470,220

This can also be written as 22 x 51 x 371 x 2411 x 2831 = 50,470,220

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


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