Q: What are the factor combinations of the number 13,969,793?

 A:
Positive:   1 x 1396979329 x 48171753 x 26358161 x 229013149 x 937571537 x 90891769 x 78973233 x 4321
Negative: -1 x -13969793-29 x -481717-53 x -263581-61 x -229013-149 x -93757-1537 x -9089-1769 x -7897-3233 x -4321


How do I find the factor combinations of the number 13,969,793?

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 13,969,793, 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 13,969,793
-1 -13,969,793

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 13,969,793.

Example:
1 x 13,969,793 = 13,969,793
and
-1 x -13,969,793 = 13,969,793
Notice both answers equal 13,969,793

With that explanation out of the way, let's continue. Next, we take the number 13,969,793 and divide it by 2:

13,969,793 ÷ 2 = 6,984,896.5

If the quotient is a whole number, then 2 and 6,984,896.5 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 13,969,793
-1 -13,969,793

Now, we try dividing 13,969,793 by 3:

13,969,793 ÷ 3 = 4,656,597.6667

If the quotient is a whole number, then 3 and 4,656,597.6667 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 13,969,793
-1 -13,969,793

Let's try dividing by 4:

13,969,793 ÷ 4 = 3,492,448.25

If the quotient is a whole number, then 4 and 3,492,448.25 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 13,969,793
-1 13,969,793
Keep dividing by the next highest number until you cannot divide anymore.

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

12953611491,5371,7693,2334,3217,8979,08993,757229,013263,581481,71713,969,793
-1-29-53-61-149-1,537-1,769-3,233-4,321-7,897-9,089-93,757-229,013-263,581-481,717-13,969,793

More Examples

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