Q: What are the factor combinations of the number 667,163,549?

 A:
Positive:   1 x 66716354913 x 5132027319 x 35113871197 x 3386617247 x 27010672561 x 2605093743 x 17824313711 x 48659
Negative: -1 x -667163549-13 x -51320273-19 x -35113871-197 x -3386617-247 x -2701067-2561 x -260509-3743 x -178243-13711 x -48659


How do I find the factor combinations of the number 667,163,549?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 667,163,549, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 667,163,549
-1 -667,163,549

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 667,163,549.

Example:
1 x 667,163,549 = 667,163,549
and
-1 x -667,163,549 = 667,163,549
Notice both answers equal 667,163,549

With that explanation out of the way, let's continue. Next, we take the number 667,163,549 and divide it by 2:

667,163,549 ÷ 2 = 333,581,774.5

If the quotient is a whole number, then 2 and 333,581,774.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 667,163,549
-1 -667,163,549

Now, we try dividing 667,163,549 by 3:

667,163,549 ÷ 3 = 222,387,849.6667

If the quotient is a whole number, then 3 and 222,387,849.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 667,163,549
-1 -667,163,549

Let's try dividing by 4:

667,163,549 ÷ 4 = 166,790,887.25

If the quotient is a whole number, then 4 and 166,790,887.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 667,163,549
-1 667,163,549
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

113191972472,5613,74313,71148,659178,243260,5092,701,0673,386,61735,113,87151,320,273667,163,549
-1-13-19-197-247-2,561-3,743-13,711-48,659-178,243-260,509-2,701,067-3,386,617-35,113,871-51,320,273-667,163,549

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 667,163,549:


Ask a Question