Q: What are the factor combinations of the number 136,752,835?

 A:
Positive:   1 x 1367528355 x 2735056729 x 471561541 x 3335435145 x 943123205 x 6670871189 x 1150155945 x 23003
Negative: -1 x -136752835-5 x -27350567-29 x -4715615-41 x -3335435-145 x -943123-205 x -667087-1189 x -115015-5945 x -23003


How do I find the factor combinations of the number 136,752,835?

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 136,752,835, 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.

1 136,752,835
-1 -136,752,835

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 136,752,835.

Example:
1 x 136,752,835 = 136,752,835
and
-1 x -136,752,835 = 136,752,835
Notice both answers equal 136,752,835

With that explanation out of the way, let's continue. Next, we take the number 136,752,835 and divide it by 2:

136,752,835 ÷ 2 = 68,376,417.5

If the quotient is a whole number, then 2 and 68,376,417.5 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:

1 136,752,835
-1 -136,752,835

Now, we try dividing 136,752,835 by 3:

136,752,835 ÷ 3 = 45,584,278.3333

If the quotient is a whole number, then 3 and 45,584,278.3333 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:

1 136,752,835
-1 -136,752,835

Let's try dividing by 4:

136,752,835 ÷ 4 = 34,188,208.75

If the quotient is a whole number, then 4 and 34,188,208.75 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:

1 136,752,835
-1 136,752,835
Keep dividing by the next highest number until you cannot divide anymore.

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

1529411452051,1895,94523,003115,015667,087943,1233,335,4354,715,61527,350,567136,752,835
-1-5-29-41-145-205-1,189-5,945-23,003-115,015-667,087-943,123-3,335,435-4,715,615-27,350,567-136,752,835

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