Q: What are the factor combinations of the number 243,254,565?

 A:
Positive:   1 x 2432545653 x 810848555 x 486509139 x 2702828515 x 1621697145 x 5405657571 x 4260151713 x 1420052855 x 852035139 x 473358565 x 284019467 x 25695
Negative: -1 x -243254565-3 x -81084855-5 x -48650913-9 x -27028285-15 x -16216971-45 x -5405657-571 x -426015-1713 x -142005-2855 x -85203-5139 x -47335-8565 x -28401-9467 x -25695


How do I find the factor combinations of the number 243,254,565?

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 243,254,565, 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.

1 243,254,565
-1 -243,254,565

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 243,254,565.

Example:
1 x 243,254,565 = 243,254,565
and
-1 x -243,254,565 = 243,254,565
Notice both answers equal 243,254,565

With that explanation out of the way, let's continue. Next, we take the number 243,254,565 and divide it by 2:

243,254,565 ÷ 2 = 121,627,282.5

If the quotient is a whole number, then 2 and 121,627,282.5 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:

1 243,254,565
-1 -243,254,565

Now, we try dividing 243,254,565 by 3:

243,254,565 ÷ 3 = 81,084,855

If the quotient is a whole number, then 3 and 81,084,855 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

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

1 3 81,084,855 243,254,565
-1 -3 -81,084,855 -243,254,565

Let's try dividing by 4:

243,254,565 ÷ 4 = 60,813,641.25

If the quotient is a whole number, then 4 and 60,813,641.25 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 3 81,084,855 243,254,565
-1 -3 -81,084,855 243,254,565
Keep dividing by the next highest number until you cannot divide anymore.

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

135915455711,7132,8555,1398,5659,46725,69528,40147,33585,203142,005426,0155,405,65716,216,97127,028,28548,650,91381,084,855243,254,565
-1-3-5-9-15-45-571-1,713-2,855-5,139-8,565-9,467-25,695-28,401-47,335-85,203-142,005-426,015-5,405,657-16,216,971-27,028,285-48,650,913-81,084,855-243,254,565

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