Q: What are the factor combinations of the number 136,748,215?

 A:
Positive:   1 x 1367482155 x 2734964353 x 2580155181 x 755515265 x 516031905 x 1511032851 x 479659593 x 14255
Negative: -1 x -136748215-5 x -27349643-53 x -2580155-181 x -755515-265 x -516031-905 x -151103-2851 x -47965-9593 x -14255


How do I find the factor combinations of the number 136,748,215?

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 136,748,215, 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.

1 136,748,215
-1 -136,748,215

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 136,748,215.

Example:
1 x 136,748,215 = 136,748,215
and
-1 x -136,748,215 = 136,748,215
Notice both answers equal 136,748,215

With that explanation out of the way, let's continue. Next, we take the number 136,748,215 and divide it by 2:

136,748,215 ÷ 2 = 68,374,107.5

If the quotient is a whole number, then 2 and 68,374,107.5 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:

1 136,748,215
-1 -136,748,215

Now, we try dividing 136,748,215 by 3:

136,748,215 ÷ 3 = 45,582,738.3333

If the quotient is a whole number, then 3 and 45,582,738.3333 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:

1 136,748,215
-1 -136,748,215

Let's try dividing by 4:

136,748,215 ÷ 4 = 34,187,053.75

If the quotient is a whole number, then 4 and 34,187,053.75 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:

1 136,748,215
-1 136,748,215
Keep dividing by the next highest number until you cannot divide anymore.

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

15531812659052,8519,59314,25547,965151,103516,031755,5152,580,15527,349,643136,748,215
-1-5-53-181-265-905-2,851-9,593-14,255-47,965-151,103-516,031-755,515-2,580,155-27,349,643-136,748,215

More Examples

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