Q: What are the factor combinations of the number 136,136,323?

 A:
Positive:   1 x 13613632317 x 800801943 x 316596161 x 223174371 x 1917413731 x 1862331037 x 1312791207 x 1127891849 x 736272623 x 519013053 x 445914331 x 31433
Negative: -1 x -136136323-17 x -8008019-43 x -3165961-61 x -2231743-71 x -1917413-731 x -186233-1037 x -131279-1207 x -112789-1849 x -73627-2623 x -51901-3053 x -44591-4331 x -31433


How do I find the factor combinations of the number 136,136,323?

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 136,136,323, 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.

1 136,136,323
-1 -136,136,323

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 136,136,323.

Example:
1 x 136,136,323 = 136,136,323
and
-1 x -136,136,323 = 136,136,323
Notice both answers equal 136,136,323

With that explanation out of the way, let's continue. Next, we take the number 136,136,323 and divide it by 2:

136,136,323 ÷ 2 = 68,068,161.5

If the quotient is a whole number, then 2 and 68,068,161.5 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:

1 136,136,323
-1 -136,136,323

Now, we try dividing 136,136,323 by 3:

136,136,323 ÷ 3 = 45,378,774.3333

If the quotient is a whole number, then 3 and 45,378,774.3333 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:

1 136,136,323
-1 -136,136,323

Let's try dividing by 4:

136,136,323 ÷ 4 = 34,034,080.75

If the quotient is a whole number, then 4 and 34,034,080.75 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:

1 136,136,323
-1 136,136,323
Keep dividing by the next highest number until you cannot divide anymore.

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

1174361717311,0371,2071,8492,6233,0534,33131,43344,59151,90173,627112,789131,279186,2331,917,4132,231,7433,165,9618,008,019136,136,323
-1-17-43-61-71-731-1,037-1,207-1,849-2,623-3,053-4,331-31,433-44,591-51,901-73,627-112,789-131,279-186,233-1,917,413-2,231,743-3,165,961-8,008,019-136,136,323

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