Q: What are the prime factors of the number 203,262,670?

 A: 2, 5, 13, 59, 26501

Why are those the prime factors of the number 203,262,670?

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 203,262,670

203,262,670
Factor Arrows
2101,631,335
Factor Arrows
520,326,267
Factor Arrows
131,563,559
Factor Arrows
5926,501

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, 13, 59, 26501

We can check our work by multiplying all of the prime factors together: 2 x 5 x 13 x 59 x 26,501 = 203,262,670

This can also be written as 21 x 51 x 131 x 591 x 26,5011 = 203,262,670

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


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