Q: What are the factor combinations of the number 13,678,789?

 A:
Positive:   1 x 1367878937 x 36969741 x 33362971 x 192659127 x 1077071517 x 90172627 x 52072911 x 4699
Negative: -1 x -13678789-37 x -369697-41 x -333629-71 x -192659-127 x -107707-1517 x -9017-2627 x -5207-2911 x -4699


How do I find the factor combinations of the number 13,678,789?

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 13,678,789, 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 13,678,789
-1 -13,678,789

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 13,678,789.

Example:
1 x 13,678,789 = 13,678,789
and
-1 x -13,678,789 = 13,678,789
Notice both answers equal 13,678,789

With that explanation out of the way, let's continue. Next, we take the number 13,678,789 and divide it by 2:

13,678,789 ÷ 2 = 6,839,394.5

If the quotient is a whole number, then 2 and 6,839,394.5 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 13,678,789
-1 -13,678,789

Now, we try dividing 13,678,789 by 3:

13,678,789 ÷ 3 = 4,559,596.3333

If the quotient is a whole number, then 3 and 4,559,596.3333 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 13,678,789
-1 -13,678,789

Let's try dividing by 4:

13,678,789 ÷ 4 = 3,419,697.25

If the quotient is a whole number, then 4 and 3,419,697.25 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 13,678,789
-1 13,678,789
Keep dividing by the next highest number until you cannot divide anymore.

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

13741711271,5172,6272,9114,6995,2079,017107,707192,659333,629369,69713,678,789
-1-37-41-71-127-1,517-2,627-2,911-4,699-5,207-9,017-107,707-192,659-333,629-369,697-13,678,789

More Examples

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