Q: What are the factor combinations of the number 243,021,569?

 A:
Positive:   1 x 2430215697 x 3471736771 x 342283997 x 2505377497 x 488977679 x 3579115041 x 482096887 x 35287
Negative: -1 x -243021569-7 x -34717367-71 x -3422839-97 x -2505377-497 x -488977-679 x -357911-5041 x -48209-6887 x -35287


How do I find the factor combinations of the number 243,021,569?

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 243,021,569, 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.

1 243,021,569
-1 -243,021,569

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 243,021,569.

Example:
1 x 243,021,569 = 243,021,569
and
-1 x -243,021,569 = 243,021,569
Notice both answers equal 243,021,569

With that explanation out of the way, let's continue. Next, we take the number 243,021,569 and divide it by 2:

243,021,569 ÷ 2 = 121,510,784.5

If the quotient is a whole number, then 2 and 121,510,784.5 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:

1 243,021,569
-1 -243,021,569

Now, we try dividing 243,021,569 by 3:

243,021,569 ÷ 3 = 81,007,189.6667

If the quotient is a whole number, then 3 and 81,007,189.6667 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:

1 243,021,569
-1 -243,021,569

Let's try dividing by 4:

243,021,569 ÷ 4 = 60,755,392.25

If the quotient is a whole number, then 4 and 60,755,392.25 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:

1 243,021,569
-1 243,021,569
Keep dividing by the next highest number until you cannot divide anymore.

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

1771974976795,0416,88735,28748,209357,911488,9772,505,3773,422,83934,717,367243,021,569
-1-7-71-97-497-679-5,041-6,887-35,287-48,209-357,911-488,977-2,505,377-3,422,839-34,717,367-243,021,569

More Examples

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