Q: What are the factor combinations of the number 136,602,739?

 A:
Positive:   1 x 1366027397 x 1951467713 x 1050790349 x 278781191 x 1501129131 x 1042769637 x 214447917 x 1489671637 x 834471703 x 802136419 x 2128111459 x 11921
Negative: -1 x -136602739-7 x -19514677-13 x -10507903-49 x -2787811-91 x -1501129-131 x -1042769-637 x -214447-917 x -148967-1637 x -83447-1703 x -80213-6419 x -21281-11459 x -11921


How do I find the factor combinations of the number 136,602,739?

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 136,602,739, 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.

1 136,602,739
-1 -136,602,739

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 136,602,739.

Example:
1 x 136,602,739 = 136,602,739
and
-1 x -136,602,739 = 136,602,739
Notice both answers equal 136,602,739

With that explanation out of the way, let's continue. Next, we take the number 136,602,739 and divide it by 2:

136,602,739 ÷ 2 = 68,301,369.5

If the quotient is a whole number, then 2 and 68,301,369.5 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:

1 136,602,739
-1 -136,602,739

Now, we try dividing 136,602,739 by 3:

136,602,739 ÷ 3 = 45,534,246.3333

If the quotient is a whole number, then 3 and 45,534,246.3333 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:

1 136,602,739
-1 -136,602,739

Let's try dividing by 4:

136,602,739 ÷ 4 = 34,150,684.75

If the quotient is a whole number, then 4 and 34,150,684.75 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:

1 136,602,739
-1 136,602,739
Keep dividing by the next highest number until you cannot divide anymore.

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

171349911316379171,6371,7036,41911,45911,92121,28180,21383,447148,967214,4471,042,7691,501,1292,787,81110,507,90319,514,677136,602,739
-1-7-13-49-91-131-637-917-1,637-1,703-6,419-11,459-11,921-21,281-80,213-83,447-148,967-214,447-1,042,769-1,501,129-2,787,811-10,507,903-19,514,677-136,602,739

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