Q: What are the prime factors of the number 353,282,868?

 A: 2, 3, 821, 11953

Why are those the prime factors of the number 353,282,868?

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 353,282,868

353,282,868
Factor Arrows
2176,641,434
Factor Arrows
288,320,717
Factor Arrows
329,440,239
Factor Arrows
39,813,413
Factor Arrows
82111,953

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, 821, 11953

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 821 x 11,953 = 353,282,868

This can also be written as 22 x 32 x 8211 x 11,9531 = 353,282,868

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


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