Q: What are the factor combinations of the number 272,568,565?

 A:
Positive:   1 x 2725685655 x 5451371317 x 1603344579 x 345023585 x 3206689395 x 6900471343 x 2029556715 x 40591
Negative: -1 x -272568565-5 x -54513713-17 x -16033445-79 x -3450235-85 x -3206689-395 x -690047-1343 x -202955-6715 x -40591


How do I find the factor combinations of the number 272,568,565?

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 272,568,565, 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.

1 272,568,565
-1 -272,568,565

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 272,568,565.

Example:
1 x 272,568,565 = 272,568,565
and
-1 x -272,568,565 = 272,568,565
Notice both answers equal 272,568,565

With that explanation out of the way, let's continue. Next, we take the number 272,568,565 and divide it by 2:

272,568,565 ÷ 2 = 136,284,282.5

If the quotient is a whole number, then 2 and 136,284,282.5 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:

1 272,568,565
-1 -272,568,565

Now, we try dividing 272,568,565 by 3:

272,568,565 ÷ 3 = 90,856,188.3333

If the quotient is a whole number, then 3 and 90,856,188.3333 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:

1 272,568,565
-1 -272,568,565

Let's try dividing by 4:

272,568,565 ÷ 4 = 68,142,141.25

If the quotient is a whole number, then 4 and 68,142,141.25 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:

1 272,568,565
-1 272,568,565
Keep dividing by the next highest number until you cannot divide anymore.

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

151779853951,3436,71540,591202,955690,0473,206,6893,450,23516,033,44554,513,713272,568,565
-1-5-17-79-85-395-1,343-6,715-40,591-202,955-690,047-3,206,689-3,450,235-16,033,445-54,513,713-272,568,565

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