Q: What are the prime factors of the number 47,455,632?

 A: 2, 3, 7, 5231

Why are those the prime factors of the number 47,455,632?

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 47,455,632

47,455,632
Factor Arrows
223,727,816
Factor Arrows
211,863,908
Factor Arrows
25,931,954
Factor Arrows
22,965,977
Factor Arrows
3988,659
Factor Arrows
3329,553
Factor Arrows
3109,851
Factor Arrows
336,617
Factor Arrows
75,231

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, 7, 5231

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 5,231 = 47,455,632

This can also be written as 24 x 34 x 71 x 5,2311 = 47,455,632

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


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