Q: What are the prime factors of the number 420,020,028?

 A: 2, 3, 11667223

Why are those the prime factors of the number 420,020,028?

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 420,020,028

420,020,028
Factor Arrows
2210,010,014
Factor Arrows
2105,005,007
Factor Arrows
335,001,669
Factor Arrows
311,667,223

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, 11667223

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 11,667,223 = 420,020,028

This can also be written as 22 x 32 x 11,667,2231 = 420,020,028

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


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