Q: What are the factor combinations of the number 325,522,565?

 A:
Positive:   1 x 3255225655 x 6510451323 x 14153155115 x 2830631
Negative: -1 x -325522565-5 x -65104513-23 x -14153155-115 x -2830631


How do I find the factor combinations of the number 325,522,565?

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 325,522,565, 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.

1 325,522,565
-1 -325,522,565

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 325,522,565.

Example:
1 x 325,522,565 = 325,522,565
and
-1 x -325,522,565 = 325,522,565
Notice both answers equal 325,522,565

With that explanation out of the way, let's continue. Next, we take the number 325,522,565 and divide it by 2:

325,522,565 ÷ 2 = 162,761,282.5

If the quotient is a whole number, then 2 and 162,761,282.5 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:

1 325,522,565
-1 -325,522,565

Now, we try dividing 325,522,565 by 3:

325,522,565 ÷ 3 = 108,507,521.6667

If the quotient is a whole number, then 3 and 108,507,521.6667 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:

1 325,522,565
-1 -325,522,565

Let's try dividing by 4:

325,522,565 ÷ 4 = 81,380,641.25

If the quotient is a whole number, then 4 and 81,380,641.25 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:

1 325,522,565
-1 325,522,565
Keep dividing by the next highest number until you cannot divide anymore.

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

15231152,830,63114,153,15565,104,513325,522,565
-1-5-23-115-2,830,631-14,153,155-65,104,513-325,522,565

More Examples

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