Q: What are the prime factors of the number 50,056,464?

 A: 2, 3, 23, 45341

Why are those the prime factors of the number 50,056,464?

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 50,056,464

50,056,464
Factor Arrows
225,028,232
Factor Arrows
212,514,116
Factor Arrows
26,257,058
Factor Arrows
23,128,529
Factor Arrows
31,042,843
Factor Arrows
2345,341

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, 23, 45341

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 23 x 45,341 = 50,056,464

This can also be written as 24 x 31 x 231 x 45,3411 = 50,056,464

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


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