Q: What are the factor combinations of the number 13,969,747?

 A:
Positive:   1 x 1396974711 x 126997731 x 45063771 x 196757341 x 40967577 x 24211781 x 178872201 x 6347
Negative: -1 x -13969747-11 x -1269977-31 x -450637-71 x -196757-341 x -40967-577 x -24211-781 x -17887-2201 x -6347


How do I find the factor combinations of the number 13,969,747?

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 13,969,747, 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 13,969,747
-1 -13,969,747

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 13,969,747.

Example:
1 x 13,969,747 = 13,969,747
and
-1 x -13,969,747 = 13,969,747
Notice both answers equal 13,969,747

With that explanation out of the way, let's continue. Next, we take the number 13,969,747 and divide it by 2:

13,969,747 ÷ 2 = 6,984,873.5

If the quotient is a whole number, then 2 and 6,984,873.5 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 13,969,747
-1 -13,969,747

Now, we try dividing 13,969,747 by 3:

13,969,747 ÷ 3 = 4,656,582.3333

If the quotient is a whole number, then 3 and 4,656,582.3333 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 13,969,747
-1 -13,969,747

Let's try dividing by 4:

13,969,747 ÷ 4 = 3,492,436.75

If the quotient is a whole number, then 4 and 3,492,436.75 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 13,969,747
-1 13,969,747
Keep dividing by the next highest number until you cannot divide anymore.

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

11131713415777812,2016,34717,88724,21140,967196,757450,6371,269,97713,969,747
-1-11-31-71-341-577-781-2,201-6,347-17,887-24,211-40,967-196,757-450,637-1,269,977-13,969,747

More Examples

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