Q: What are the prime factors of the number 40,015,224?

 A: 2, 3, 555767

Why are those the prime factors of the number 40,015,224?

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 40,015,224

40,015,224
Factor Arrows
220,007,612
Factor Arrows
210,003,806
Factor Arrows
25,001,903
Factor Arrows
31,667,301
Factor Arrows
3555,767

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, 555767

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 555,767 = 40,015,224

This can also be written as 23 x 32 x 555,7671 = 40,015,224

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


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