Q: What are the factor combinations of the number 13,813,735?

 A:
Positive:   1 x 138137355 x 276274713 x 106259565 x 212519223 x 61945953 x 144951115 x 123892899 x 4765
Negative: -1 x -13813735-5 x -2762747-13 x -1062595-65 x -212519-223 x -61945-953 x -14495-1115 x -12389-2899 x -4765


How do I find the factor combinations of the number 13,813,735?

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 13,813,735, 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 13,813,735
-1 -13,813,735

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 13,813,735.

Example:
1 x 13,813,735 = 13,813,735
and
-1 x -13,813,735 = 13,813,735
Notice both answers equal 13,813,735

With that explanation out of the way, let's continue. Next, we take the number 13,813,735 and divide it by 2:

13,813,735 ÷ 2 = 6,906,867.5

If the quotient is a whole number, then 2 and 6,906,867.5 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 13,813,735
-1 -13,813,735

Now, we try dividing 13,813,735 by 3:

13,813,735 ÷ 3 = 4,604,578.3333

If the quotient is a whole number, then 3 and 4,604,578.3333 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 13,813,735
-1 -13,813,735

Let's try dividing by 4:

13,813,735 ÷ 4 = 3,453,433.75

If the quotient is a whole number, then 4 and 3,453,433.75 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 13,813,735
-1 13,813,735
Keep dividing by the next highest number until you cannot divide anymore.

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

1513652239531,1152,8994,76512,38914,49561,945212,5191,062,5952,762,74713,813,735
-1-5-13-65-223-953-1,115-2,899-4,765-12,389-14,495-61,945-212,519-1,062,595-2,762,747-13,813,735

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