Q: What are the factor combinations of the number 231,604,375?

 A:
Positive:   1 x 2316043755 x 4632087525 x 9264175125 x 1852835263 x 880625625 x 3705671315 x 1761251409 x 1643756575 x 352257045 x 32875
Negative: -1 x -231604375-5 x -46320875-25 x -9264175-125 x -1852835-263 x -880625-625 x -370567-1315 x -176125-1409 x -164375-6575 x -35225-7045 x -32875


How do I find the factor combinations of the number 231,604,375?

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 231,604,375, 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.

1 231,604,375
-1 -231,604,375

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 231,604,375.

Example:
1 x 231,604,375 = 231,604,375
and
-1 x -231,604,375 = 231,604,375
Notice both answers equal 231,604,375

With that explanation out of the way, let's continue. Next, we take the number 231,604,375 and divide it by 2:

231,604,375 ÷ 2 = 115,802,187.5

If the quotient is a whole number, then 2 and 115,802,187.5 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:

1 231,604,375
-1 -231,604,375

Now, we try dividing 231,604,375 by 3:

231,604,375 ÷ 3 = 77,201,458.3333

If the quotient is a whole number, then 3 and 77,201,458.3333 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:

1 231,604,375
-1 -231,604,375

Let's try dividing by 4:

231,604,375 ÷ 4 = 57,901,093.75

If the quotient is a whole number, then 4 and 57,901,093.75 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:

1 231,604,375
-1 231,604,375
Keep dividing by the next highest number until you cannot divide anymore.

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

15251252636251,3151,4096,5757,04532,87535,225164,375176,125370,567880,6251,852,8359,264,17546,320,875231,604,375
-1-5-25-125-263-625-1,315-1,409-6,575-7,045-32,875-35,225-164,375-176,125-370,567-880,625-1,852,835-9,264,175-46,320,875-231,604,375

More Examples

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