Q: What are the factor combinations of the number 231,448,285?

 A:
Positive:   1 x 2314482855 x 4628965717 x 1361460571 x 325983585 x 2722921355 x 6519671207 x 1917556035 x 38351
Negative: -1 x -231448285-5 x -46289657-17 x -13614605-71 x -3259835-85 x -2722921-355 x -651967-1207 x -191755-6035 x -38351


How do I find the factor combinations of the number 231,448,285?

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 231,448,285, 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.

1 231,448,285
-1 -231,448,285

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 231,448,285.

Example:
1 x 231,448,285 = 231,448,285
and
-1 x -231,448,285 = 231,448,285
Notice both answers equal 231,448,285

With that explanation out of the way, let's continue. Next, we take the number 231,448,285 and divide it by 2:

231,448,285 ÷ 2 = 115,724,142.5

If the quotient is a whole number, then 2 and 115,724,142.5 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:

1 231,448,285
-1 -231,448,285

Now, we try dividing 231,448,285 by 3:

231,448,285 ÷ 3 = 77,149,428.3333

If the quotient is a whole number, then 3 and 77,149,428.3333 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:

1 231,448,285
-1 -231,448,285

Let's try dividing by 4:

231,448,285 ÷ 4 = 57,862,071.25

If the quotient is a whole number, then 4 and 57,862,071.25 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:

1 231,448,285
-1 231,448,285
Keep dividing by the next highest number until you cannot divide anymore.

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

151771853551,2076,03538,351191,755651,9672,722,9213,259,83513,614,60546,289,657231,448,285
-1-5-17-71-85-355-1,207-6,035-38,351-191,755-651,967-2,722,921-3,259,835-13,614,605-46,289,657-231,448,285

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