Q: What are the factor combinations of the number 135,232,867?

 A:
Positive:   1 x 1352328677 x 1931898111 x 1229389767 x 201840177 x 1756271121 x 1117627469 x 288343737 x 183491847 x 1596612383 x 567495159 x 262138107 x 16681
Negative: -1 x -135232867-7 x -19318981-11 x -12293897-67 x -2018401-77 x -1756271-121 x -1117627-469 x -288343-737 x -183491-847 x -159661-2383 x -56749-5159 x -26213-8107 x -16681


How do I find the factor combinations of the number 135,232,867?

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 135,232,867, 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.

1 135,232,867
-1 -135,232,867

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 135,232,867.

Example:
1 x 135,232,867 = 135,232,867
and
-1 x -135,232,867 = 135,232,867
Notice both answers equal 135,232,867

With that explanation out of the way, let's continue. Next, we take the number 135,232,867 and divide it by 2:

135,232,867 ÷ 2 = 67,616,433.5

If the quotient is a whole number, then 2 and 67,616,433.5 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:

1 135,232,867
-1 -135,232,867

Now, we try dividing 135,232,867 by 3:

135,232,867 ÷ 3 = 45,077,622.3333

If the quotient is a whole number, then 3 and 45,077,622.3333 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:

1 135,232,867
-1 -135,232,867

Let's try dividing by 4:

135,232,867 ÷ 4 = 33,808,216.75

If the quotient is a whole number, then 4 and 33,808,216.75 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:

1 135,232,867
-1 135,232,867
Keep dividing by the next highest number until you cannot divide anymore.

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

171167771214697378472,3835,1598,10716,68126,21356,749159,661183,491288,3431,117,6271,756,2712,018,40112,293,89719,318,981135,232,867
-1-7-11-67-77-121-469-737-847-2,383-5,159-8,107-16,681-26,213-56,749-159,661-183,491-288,343-1,117,627-1,756,271-2,018,401-12,293,897-19,318,981-135,232,867

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