Q: What are the prime factors of the number 50,045,248?

 A: 2, 11, 67, 1061

Why are those the prime factors of the number 50,045,248?

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 50,045,248

50,045,248
Factor Arrows
225,022,624
Factor Arrows
212,511,312
Factor Arrows
26,255,656
Factor Arrows
23,127,828
Factor Arrows
21,563,914
Factor Arrows
2781,957
Factor Arrows
1171,087
Factor Arrows
671,061

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, 11, 67, 1061

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 11 x 67 x 1,061 = 50,045,248

This can also be written as 26 x 111 x 671 x 1,0611 = 50,045,248

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


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