Q: What are the factor combinations of the number 12,537,677?

 A:
Positive:   1 x 1253767741 x 30579759 x 21250371 x 17658773 x 1717492419 x 51832911 x 43072993 x 4189
Negative: -1 x -12537677-41 x -305797-59 x -212503-71 x -176587-73 x -171749-2419 x -5183-2911 x -4307-2993 x -4189


How do I find the factor combinations of the number 12,537,677?

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 12,537,677, 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 12,537,677
-1 -12,537,677

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 12,537,677.

Example:
1 x 12,537,677 = 12,537,677
and
-1 x -12,537,677 = 12,537,677
Notice both answers equal 12,537,677

With that explanation out of the way, let's continue. Next, we take the number 12,537,677 and divide it by 2:

12,537,677 ÷ 2 = 6,268,838.5

If the quotient is a whole number, then 2 and 6,268,838.5 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 12,537,677
-1 -12,537,677

Now, we try dividing 12,537,677 by 3:

12,537,677 ÷ 3 = 4,179,225.6667

If the quotient is a whole number, then 3 and 4,179,225.6667 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 12,537,677
-1 -12,537,677

Let's try dividing by 4:

12,537,677 ÷ 4 = 3,134,419.25

If the quotient is a whole number, then 4 and 3,134,419.25 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 12,537,677
-1 12,537,677
Keep dividing by the next highest number until you cannot divide anymore.

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

1415971732,4192,9112,9934,1894,3075,183171,749176,587212,503305,79712,537,677
-1-41-59-71-73-2,419-2,911-2,993-4,189-4,307-5,183-171,749-176,587-212,503-305,797-12,537,677

More Examples

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