Q: What are the prime factors of the number 812,040,426?

 A: 2, 3, 29, 1555633

Why are those the prime factors of the number 812,040,426?

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 812,040,426

812,040,426
Factor Arrows
2406,020,213
Factor Arrows
3135,340,071
Factor Arrows
345,113,357
Factor Arrows
291,555,633

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, 29, 1555633

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 29 x 1,555,633 = 812,040,426

This can also be written as 21 x 32 x 291 x 1,555,6331 = 812,040,426

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


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