Q: What are the prime factors of the number 403,240,020?

 A: 2, 3, 5, 6720667

Why are those the prime factors of the number 403,240,020?

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 403,240,020

403,240,020
Factor Arrows
2201,620,010
Factor Arrows
2100,810,005
Factor Arrows
333,603,335
Factor Arrows
56,720,667

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, 5, 6720667

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 6,720,667 = 403,240,020

This can also be written as 22 x 31 x 51 x 6,720,6671 = 403,240,020

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


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