Q: What are the factor combinations of the number 233,625,125?

 A:
Positive:   1 x 2336251255 x 4672502525 x 9345005125 x 1869001977 x 2391251913 x 1221254885 x 478259565 x 24425
Negative: -1 x -233625125-5 x -46725025-25 x -9345005-125 x -1869001-977 x -239125-1913 x -122125-4885 x -47825-9565 x -24425


How do I find the factor combinations of the number 233,625,125?

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 233,625,125, 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.

1 233,625,125
-1 -233,625,125

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 233,625,125.

Example:
1 x 233,625,125 = 233,625,125
and
-1 x -233,625,125 = 233,625,125
Notice both answers equal 233,625,125

With that explanation out of the way, let's continue. Next, we take the number 233,625,125 and divide it by 2:

233,625,125 ÷ 2 = 116,812,562.5

If the quotient is a whole number, then 2 and 116,812,562.5 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:

1 233,625,125
-1 -233,625,125

Now, we try dividing 233,625,125 by 3:

233,625,125 ÷ 3 = 77,875,041.6667

If the quotient is a whole number, then 3 and 77,875,041.6667 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:

1 233,625,125
-1 -233,625,125

Let's try dividing by 4:

233,625,125 ÷ 4 = 58,406,281.25

If the quotient is a whole number, then 4 and 58,406,281.25 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:

1 233,625,125
-1 233,625,125
Keep dividing by the next highest number until you cannot divide anymore.

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

15251259771,9134,8859,56524,42547,825122,125239,1251,869,0019,345,00546,725,025233,625,125
-1-5-25-125-977-1,913-4,885-9,565-24,425-47,825-122,125-239,125-1,869,001-9,345,005-46,725,025-233,625,125

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