Q: What are the factor combinations of the number 124,440,215?

 A:
Positive:   1 x 1244402155 x 2488804319 x 654948595 x 1309897181 x 687515905 x 1375033439 x 361857237 x 17195
Negative: -1 x -124440215-5 x -24888043-19 x -6549485-95 x -1309897-181 x -687515-905 x -137503-3439 x -36185-7237 x -17195


How do I find the factor combinations of the number 124,440,215?

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 124,440,215, 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.

1 124,440,215
-1 -124,440,215

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 124,440,215.

Example:
1 x 124,440,215 = 124,440,215
and
-1 x -124,440,215 = 124,440,215
Notice both answers equal 124,440,215

With that explanation out of the way, let's continue. Next, we take the number 124,440,215 and divide it by 2:

124,440,215 ÷ 2 = 62,220,107.5

If the quotient is a whole number, then 2 and 62,220,107.5 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:

1 124,440,215
-1 -124,440,215

Now, we try dividing 124,440,215 by 3:

124,440,215 ÷ 3 = 41,480,071.6667

If the quotient is a whole number, then 3 and 41,480,071.6667 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:

1 124,440,215
-1 -124,440,215

Let's try dividing by 4:

124,440,215 ÷ 4 = 31,110,053.75

If the quotient is a whole number, then 4 and 31,110,053.75 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:

1 124,440,215
-1 124,440,215
Keep dividing by the next highest number until you cannot divide anymore.

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

1519951819053,4397,23717,19536,185137,503687,5151,309,8976,549,48524,888,043124,440,215
-1-5-19-95-181-905-3,439-7,237-17,195-36,185-137,503-687,515-1,309,897-6,549,485-24,888,043-124,440,215

More Examples

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