Q: What are the prime factors of the number 235,550,150?

 A: 2, 5, 11, 428273

Why are those the prime factors of the number 235,550,150?

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 235,550,150

235,550,150
Factor Arrows
2117,775,075
Factor Arrows
523,555,015
Factor Arrows
54,711,003
Factor Arrows
11428,273

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, 11, 428273

We can check our work by multiplying all of the prime factors together: 2 x 5 x 5 x 11 x 428,273 = 235,550,150

This can also be written as 21 x 52 x 111 x 428,2731 = 235,550,150

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


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