Q: What are the prime factors of the number 280,350,032?

 A: 2, 71, 246787

Why are those the prime factors of the number 280,350,032?

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 280,350,032

280,350,032
Factor Arrows
2140,175,016
Factor Arrows
270,087,508
Factor Arrows
235,043,754
Factor Arrows
217,521,877
Factor Arrows
71246,787

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, 71, 246787

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 71 x 246,787 = 280,350,032

This can also be written as 24 x 711 x 246,7871 = 280,350,032

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


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