Q: What are the prime factors of the number 210,304,130?

 A: 2, 5, 71, 271, 1093

Why are those the prime factors of the number 210,304,130?

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 210,304,130

210,304,130
Factor Arrows
2105,152,065
Factor Arrows
521,030,413
Factor Arrows
71296,203
Factor Arrows
2711,093

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, 71, 271, 1093

We can check our work by multiplying all of the prime factors together: 2 x 5 x 71 x 271 x 1,093 = 210,304,130

This can also be written as 21 x 51 x 711 x 2711 x 1,0931 = 210,304,130

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


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