Q: What are the prime factors of the number 50,216,704?

 A: 2, 196159

Why are those the prime factors of the number 50,216,704?

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 50,216,704

50,216,704
Factor Arrows
225,108,352
Factor Arrows
212,554,176
Factor Arrows
26,277,088
Factor Arrows
23,138,544
Factor Arrows
21,569,272
Factor Arrows
2784,636
Factor Arrows
2392,318
Factor Arrows
2196,159

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, 196159

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 196,159 = 50,216,704

This can also be written as 28 x 196,1591 = 50,216,704

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


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