Q: What are the factor combinations of the number 231,403,015?

 A:
Positive:   1 x 2314030155 x 4628060359 x 3922085107 x 2162645295 x 784417535 x 4325296313 x 366557331 x 31565
Negative: -1 x -231403015-5 x -46280603-59 x -3922085-107 x -2162645-295 x -784417-535 x -432529-6313 x -36655-7331 x -31565


How do I find the factor combinations of the number 231,403,015?

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 231,403,015, 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.

1 231,403,015
-1 -231,403,015

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 231,403,015.

Example:
1 x 231,403,015 = 231,403,015
and
-1 x -231,403,015 = 231,403,015
Notice both answers equal 231,403,015

With that explanation out of the way, let's continue. Next, we take the number 231,403,015 and divide it by 2:

231,403,015 ÷ 2 = 115,701,507.5

If the quotient is a whole number, then 2 and 115,701,507.5 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:

1 231,403,015
-1 -231,403,015

Now, we try dividing 231,403,015 by 3:

231,403,015 ÷ 3 = 77,134,338.3333

If the quotient is a whole number, then 3 and 77,134,338.3333 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:

1 231,403,015
-1 -231,403,015

Let's try dividing by 4:

231,403,015 ÷ 4 = 57,850,753.75

If the quotient is a whole number, then 4 and 57,850,753.75 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:

1 231,403,015
-1 231,403,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15591072955356,3137,33131,56536,655432,529784,4172,162,6453,922,08546,280,603231,403,015
-1-5-59-107-295-535-6,313-7,331-31,565-36,655-432,529-784,417-2,162,645-3,922,085-46,280,603-231,403,015

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