Q: What are the prime factors of the number 231,053,340?

 A: 2, 3, 5, 7, 550127

Why are those the prime factors of the number 231,053,340?

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 231,053,340

231,053,340
Factor Arrows
2115,526,670
Factor Arrows
257,763,335
Factor Arrows
319,254,445
Factor Arrows
53,850,889
Factor Arrows
7550,127

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, 7, 550127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 7 x 550,127 = 231,053,340

This can also be written as 22 x 31 x 51 x 71 x 550,1271 = 231,053,340

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


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