Q: What are the factor combinations of the number 48,087,325?

 A:
Positive:   1 x 480873255 x 961746511 x 437157513 x 369902525 x 192349355 x 87431565 x 739805143 x 336275275 x 174863325 x 147961715 x 672553575 x 13451
Negative: -1 x -48087325-5 x -9617465-11 x -4371575-13 x -3699025-25 x -1923493-55 x -874315-65 x -739805-143 x -336275-275 x -174863-325 x -147961-715 x -67255-3575 x -13451


How do I find the factor combinations of the number 48,087,325?

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 48,087,325, 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 48,087,325
-1 -48,087,325

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 48,087,325.

Example:
1 x 48,087,325 = 48,087,325
and
-1 x -48,087,325 = 48,087,325
Notice both answers equal 48,087,325

With that explanation out of the way, let's continue. Next, we take the number 48,087,325 and divide it by 2:

48,087,325 ÷ 2 = 24,043,662.5

If the quotient is a whole number, then 2 and 24,043,662.5 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 48,087,325
-1 -48,087,325

Now, we try dividing 48,087,325 by 3:

48,087,325 ÷ 3 = 16,029,108.3333

If the quotient is a whole number, then 3 and 16,029,108.3333 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 48,087,325
-1 -48,087,325

Let's try dividing by 4:

48,087,325 ÷ 4 = 12,021,831.25

If the quotient is a whole number, then 4 and 12,021,831.25 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 48,087,325
-1 48,087,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651432753257153,57513,45167,255147,961174,863336,275739,805874,3151,923,4933,699,0254,371,5759,617,46548,087,325
-1-5-11-13-25-55-65-143-275-325-715-3,575-13,451-67,255-147,961-174,863-336,275-739,805-874,315-1,923,493-3,699,025-4,371,575-9,617,465-48,087,325

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