Q: What are the prime factors of the number 47,672,216?

 A: 2, 17, 19, 971

Why are those the prime factors of the number 47,672,216?

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 47,672,216

47,672,216
Factor Arrows
223,836,108
Factor Arrows
211,918,054
Factor Arrows
25,959,027
Factor Arrows
17350,531
Factor Arrows
1918,449
Factor Arrows
19971

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, 971

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 17 x 19 x 19 x 971 = 47,672,216

This can also be written as 23 x 171 x 192 x 9711 = 47,672,216

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


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