Q: What are the prime factors of the number 50,602,472?

 A: 2, 17, 19, 19583

Why are those the prime factors of the number 50,602,472?

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 50,602,472

50,602,472
Factor Arrows
225,301,236
Factor Arrows
212,650,618
Factor Arrows
26,325,309
Factor Arrows
17372,077
Factor Arrows
1919,583

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, 17, 19, 19583

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 19 x 19,583 = 50,602,472

This can also be written as 23 x 171 x 191 x 19,5831 = 50,602,472

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


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