Q: What are the prime factors of the number 216,990,570?

 A: 2, 3, 5, 37, 233, 839

Why are those the prime factors of the number 216,990,570?

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 216,990,570

216,990,570
Factor Arrows
2108,495,285
Factor Arrows
336,165,095
Factor Arrows
57,233,019
Factor Arrows
37195,487
Factor Arrows
233839

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, 37, 233, 839

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 37 x 233 x 839 = 216,990,570

This can also be written as 21 x 31 x 51 x 371 x 2331 x 8391 = 216,990,570

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


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