Q: What are the prime factors of the number 50,903,808?

 A: 2, 3, 79, 839

Why are those the prime factors of the number 50,903,808?

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 50,903,808

50,903,808
Factor Arrows
225,451,904
Factor Arrows
212,725,952
Factor Arrows
26,362,976
Factor Arrows
23,181,488
Factor Arrows
21,590,744
Factor Arrows
2795,372
Factor Arrows
2397,686
Factor Arrows
2198,843
Factor Arrows
366,281
Factor Arrows
79839

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, 79, 839

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 79 x 839 = 50,903,808

This can also be written as 28 x 31 x 791 x 8391 = 50,903,808

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


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