Q: What are the prime factors of the number 203,000,230?

 A: 2, 5, 17, 467, 2557

Why are those the prime factors of the number 203,000,230?

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 203,000,230

203,000,230
Factor Arrows
2101,500,115
Factor Arrows
520,300,023
Factor Arrows
171,194,119
Factor Arrows
4672,557

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, 17, 467, 2557

We can check our work by multiplying all of the prime factors together: 2 x 5 x 17 x 467 x 2,557 = 203,000,230

This can also be written as 21 x 51 x 171 x 4671 x 2,5571 = 203,000,230

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


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