Q: What are the prime factors of the number 50,055,504?

 A: 2, 3, 883, 1181

Why are those the prime factors of the number 50,055,504?

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 50,055,504

50,055,504
Factor Arrows
225,027,752
Factor Arrows
212,513,876
Factor Arrows
26,256,938
Factor Arrows
23,128,469
Factor Arrows
31,042,823
Factor Arrows
8831,181

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, 883, 1181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 883 x 1,181 = 50,055,504

This can also be written as 24 x 31 x 8831 x 1,1811 = 50,055,504

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


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