Q: What are the prime factors of the number 50,026,620?

 A: 2, 3, 5, 7, 19, 6269

Why are those the prime factors of the number 50,026,620?

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 50,026,620

50,026,620
Factor Arrows
225,013,310
Factor Arrows
212,506,655
Factor Arrows
34,168,885
Factor Arrows
5833,777
Factor Arrows
7119,111
Factor Arrows
196,269

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, 5, 7, 19, 6269

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 7 x 19 x 6,269 = 50,026,620

This can also be written as 22 x 31 x 51 x 71 x 191 x 6,2691 = 50,026,620

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


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