Q: What are the factor combinations of the number 18,497,969?

 A:
Positive:   1 x 184979697 x 264256729 x 637861203 x 91123293 x 63133311 x 594792051 x 90192177 x 8497
Negative: -1 x -18497969-7 x -2642567-29 x -637861-203 x -91123-293 x -63133-311 x -59479-2051 x -9019-2177 x -8497


How do I find the factor combinations of the number 18,497,969?

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 18,497,969, 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 18,497,969
-1 -18,497,969

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 18,497,969.

Example:
1 x 18,497,969 = 18,497,969
and
-1 x -18,497,969 = 18,497,969
Notice both answers equal 18,497,969

With that explanation out of the way, let's continue. Next, we take the number 18,497,969 and divide it by 2:

18,497,969 ÷ 2 = 9,248,984.5

If the quotient is a whole number, then 2 and 9,248,984.5 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 18,497,969
-1 -18,497,969

Now, we try dividing 18,497,969 by 3:

18,497,969 ÷ 3 = 6,165,989.6667

If the quotient is a whole number, then 3 and 6,165,989.6667 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 18,497,969
-1 -18,497,969

Let's try dividing by 4:

18,497,969 ÷ 4 = 4,624,492.25

If the quotient is a whole number, then 4 and 4,624,492.25 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 18,497,969
-1 18,497,969
Keep dividing by the next highest number until you cannot divide anymore.

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

17292032933112,0512,1778,4979,01959,47963,13391,123637,8612,642,56718,497,969
-1-7-29-203-293-311-2,051-2,177-8,497-9,019-59,479-63,133-91,123-637,861-2,642,567-18,497,969

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