Q: What are the prime factors of the number 50,651,648?

 A: 2, 98929

Why are those the prime factors of the number 50,651,648?

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 50,651,648

50,651,648
Factor Arrows
225,325,824
Factor Arrows
212,662,912
Factor Arrows
26,331,456
Factor Arrows
23,165,728
Factor Arrows
21,582,864
Factor Arrows
2791,432
Factor Arrows
2395,716
Factor Arrows
2197,858
Factor Arrows
298,929

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, 98929

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 2 x 2 x 2 x 98,929 = 50,651,648

This can also be written as 29 x 98,9291 = 50,651,648

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


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