Q: What are the factor combinations of the number 13,969,787?

 A:
Positive:   1 x 1396978713 x 1074599103 x 1356291339 x 10433
Negative: -1 x -13969787-13 x -1074599-103 x -135629-1339 x -10433


How do I find the factor combinations of the number 13,969,787?

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 13,969,787, 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 13,969,787
-1 -13,969,787

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 13,969,787.

Example:
1 x 13,969,787 = 13,969,787
and
-1 x -13,969,787 = 13,969,787
Notice both answers equal 13,969,787

With that explanation out of the way, let's continue. Next, we take the number 13,969,787 and divide it by 2:

13,969,787 ÷ 2 = 6,984,893.5

If the quotient is a whole number, then 2 and 6,984,893.5 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 13,969,787
-1 -13,969,787

Now, we try dividing 13,969,787 by 3:

13,969,787 ÷ 3 = 4,656,595.6667

If the quotient is a whole number, then 3 and 4,656,595.6667 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 13,969,787
-1 -13,969,787

Let's try dividing by 4:

13,969,787 ÷ 4 = 3,492,446.75

If the quotient is a whole number, then 4 and 3,492,446.75 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 13,969,787
-1 13,969,787
Keep dividing by the next highest number until you cannot divide anymore.

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

1131031,33910,433135,6291,074,59913,969,787
-1-13-103-1,339-10,433-135,629-1,074,599-13,969,787

More Examples

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