Q: What are the prime factors of the number 203,153,550?

 A: 2, 3, 5, 421, 3217

Why are those the prime factors of the number 203,153,550?

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 203,153,550

203,153,550
Factor Arrows
2101,576,775
Factor Arrows
333,858,925
Factor Arrows
56,771,785
Factor Arrows
51,354,357
Factor Arrows
4213,217

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, 421, 3217

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 5 x 421 x 3,217 = 203,153,550

This can also be written as 21 x 31 x 52 x 4211 x 3,2171 = 203,153,550

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


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