Q: What are the prime factors of the number 288,121,206?

 A: 2, 3, 19, 29, 87151

Why are those the prime factors of the number 288,121,206?

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 288,121,206

288,121,206
Factor Arrows
2144,060,603
Factor Arrows
348,020,201
Factor Arrows
192,527,379
Factor Arrows
2987,151

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, 19, 29, 87151

We can check our work by multiplying all of the prime factors together: 2 x 3 x 19 x 29 x 87,151 = 288,121,206

This can also be written as 21 x 31 x 191 x 291 x 87,1511 = 288,121,206

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


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