Q: What are the prime factors of the number 50,840,244?

 A: 2, 3, 7, 13, 739

Why are those the prime factors of the number 50,840,244?

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 50,840,244

50,840,244
Factor Arrows
225,420,122
Factor Arrows
212,710,061
Factor Arrows
34,236,687
Factor Arrows
31,412,229
Factor Arrows
3470,743
Factor Arrows
767,249
Factor Arrows
79,607
Factor Arrows
13739

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, 13, 739

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 7 x 7 x 13 x 739 = 50,840,244

This can also be written as 22 x 33 x 72 x 131 x 7391 = 50,840,244

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


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