Q: What are the factor combinations of the number 125,612,605?

 A:
Positive:   1 x 1256126055 x 2512252167 x 1874815257 x 488765335 x 3749631285 x 977531459 x 860957295 x 17219
Negative: -1 x -125612605-5 x -25122521-67 x -1874815-257 x -488765-335 x -374963-1285 x -97753-1459 x -86095-7295 x -17219


How do I find the factor combinations of the number 125,612,605?

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 125,612,605, 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.

1 125,612,605
-1 -125,612,605

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 125,612,605.

Example:
1 x 125,612,605 = 125,612,605
and
-1 x -125,612,605 = 125,612,605
Notice both answers equal 125,612,605

With that explanation out of the way, let's continue. Next, we take the number 125,612,605 and divide it by 2:

125,612,605 ÷ 2 = 62,806,302.5

If the quotient is a whole number, then 2 and 62,806,302.5 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:

1 125,612,605
-1 -125,612,605

Now, we try dividing 125,612,605 by 3:

125,612,605 ÷ 3 = 41,870,868.3333

If the quotient is a whole number, then 3 and 41,870,868.3333 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:

1 125,612,605
-1 -125,612,605

Let's try dividing by 4:

125,612,605 ÷ 4 = 31,403,151.25

If the quotient is a whole number, then 4 and 31,403,151.25 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:

1 125,612,605
-1 125,612,605
Keep dividing by the next highest number until you cannot divide anymore.

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

15672573351,2851,4597,29517,21986,09597,753374,963488,7651,874,81525,122,521125,612,605
-1-5-67-257-335-1,285-1,459-7,295-17,219-86,095-97,753-374,963-488,765-1,874,815-25,122,521-125,612,605

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