Q: What are the prime factors of the number 286,668,216?

 A: 2, 3, 3981503

Why are those the prime factors of the number 286,668,216?

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 286,668,216

286,668,216
Factor Arrows
2143,334,108
Factor Arrows
271,667,054
Factor Arrows
235,833,527
Factor Arrows
311,944,509
Factor Arrows
33,981,503

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, 3981503

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3,981,503 = 286,668,216

This can also be written as 23 x 32 x 3,981,5031 = 286,668,216

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


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