Q: What are the factor combinations of the number 12,536,735?

 A:
Positive:   1 x 125367355 x 250734717 x 73745583 x 15104585 x 147491415 x 302091411 x 88851777 x 7055
Negative: -1 x -12536735-5 x -2507347-17 x -737455-83 x -151045-85 x -147491-415 x -30209-1411 x -8885-1777 x -7055


How do I find the factor combinations of the number 12,536,735?

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 12,536,735, 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 12,536,735
-1 -12,536,735

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 12,536,735.

Example:
1 x 12,536,735 = 12,536,735
and
-1 x -12,536,735 = 12,536,735
Notice both answers equal 12,536,735

With that explanation out of the way, let's continue. Next, we take the number 12,536,735 and divide it by 2:

12,536,735 ÷ 2 = 6,268,367.5

If the quotient is a whole number, then 2 and 6,268,367.5 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 12,536,735
-1 -12,536,735

Now, we try dividing 12,536,735 by 3:

12,536,735 ÷ 3 = 4,178,911.6667

If the quotient is a whole number, then 3 and 4,178,911.6667 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 12,536,735
-1 -12,536,735

Let's try dividing by 4:

12,536,735 ÷ 4 = 3,134,183.75

If the quotient is a whole number, then 4 and 3,134,183.75 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 12,536,735
-1 12,536,735
Keep dividing by the next highest number until you cannot divide anymore.

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

151783854151,4111,7777,0558,88530,209147,491151,045737,4552,507,34712,536,735
-1-5-17-83-85-415-1,411-1,777-7,055-8,885-30,209-147,491-151,045-737,455-2,507,347-12,536,735

More Examples

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