Q: What are the prime factors of the number 50,262,912?

 A: 2, 3, 7, 23, 271

Why are those the prime factors of the number 50,262,912?

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 50,262,912

50,262,912
Factor Arrows
225,131,456
Factor Arrows
212,565,728
Factor Arrows
26,282,864
Factor Arrows
23,141,432
Factor Arrows
21,570,716
Factor Arrows
2785,358
Factor Arrows
2392,679
Factor Arrows
3130,893
Factor Arrows
343,631
Factor Arrows
76,233
Factor Arrows
23271

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, 7, 23, 271

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 3 x 3 x 7 x 23 x 271 = 50,262,912

This can also be written as 27 x 32 x 71 x 231 x 2711 = 50,262,912

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


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