Q: What are the prime factors of the number 554,433,012?

 A: 2, 3, 7, 37, 6607

Why are those the prime factors of the number 554,433,012?

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 554,433,012

554,433,012
Factor Arrows
2277,216,506
Factor Arrows
2138,608,253
Factor Arrows
346,202,751
Factor Arrows
315,400,917
Factor Arrows
35,133,639
Factor Arrows
31,711,213
Factor Arrows
7244,459
Factor Arrows
376,607

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, 7, 37, 6607

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 7 x 37 x 6,607 = 554,433,012

This can also be written as 22 x 34 x 71 x 371 x 6,6071 = 554,433,012

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


More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 554,433,012:


Ask a Question