Q: What are the prime factors of the number 210,235,051?

 A: 13, 103, 197, 797

Why are those the prime factors of the number 210,235,051?

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 210,235,051

210,235,051
Factor Arrows
1316,171,927
Factor Arrows
103157,009
Factor Arrows
197797

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:

13, 103, 197, 797

We can check our work by multiplying all of the prime factors together: 13 x 103 x 197 x 797 = 210,235,051

This can also be written as 131 x 1031 x 1971 x 7971 = 210,235,051

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


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