Q: What are the prime factors of the number 50,346,432?

 A: 2, 3, 87407

Why are those the prime factors of the number 50,346,432?

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 50,346,432

50,346,432
Factor Arrows
225,173,216
Factor Arrows
212,586,608
Factor Arrows
26,293,304
Factor Arrows
23,146,652
Factor Arrows
21,573,326
Factor Arrows
2786,663
Factor Arrows
3262,221
Factor Arrows
387,407

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, 87407

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 3 x 3 x 87,407 = 50,346,432

This can also be written as 26 x 32 x 87,4071 = 50,346,432

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


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