Q: What are the prime factors of the number 47,421,536?

 A: 2, 157, 9439

Why are those the prime factors of the number 47,421,536?

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 47,421,536

47,421,536
Factor Arrows
223,710,768
Factor Arrows
211,855,384
Factor Arrows
25,927,692
Factor Arrows
22,963,846
Factor Arrows
21,481,923
Factor Arrows
1579,439

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, 157, 9439

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 157 x 9,439 = 47,421,536

This can also be written as 25 x 1571 x 9,4391 = 47,421,536

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


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