Q: What are the factor combinations of the number 18,721,535?

 A:
Positive:   1 x 187215355 x 37443077 x 267450535 x 534901167 x 112105835 x 224211169 x 160153203 x 5845
Negative: -1 x -18721535-5 x -3744307-7 x -2674505-35 x -534901-167 x -112105-835 x -22421-1169 x -16015-3203 x -5845


How do I find the factor combinations of the number 18,721,535?

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 18,721,535, 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 18,721,535
-1 -18,721,535

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 18,721,535.

Example:
1 x 18,721,535 = 18,721,535
and
-1 x -18,721,535 = 18,721,535
Notice both answers equal 18,721,535

With that explanation out of the way, let's continue. Next, we take the number 18,721,535 and divide it by 2:

18,721,535 ÷ 2 = 9,360,767.5

If the quotient is a whole number, then 2 and 9,360,767.5 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 18,721,535
-1 -18,721,535

Now, we try dividing 18,721,535 by 3:

18,721,535 ÷ 3 = 6,240,511.6667

If the quotient is a whole number, then 3 and 6,240,511.6667 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 18,721,535
-1 -18,721,535

Let's try dividing by 4:

18,721,535 ÷ 4 = 4,680,383.75

If the quotient is a whole number, then 4 and 4,680,383.75 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 18,721,535
-1 18,721,535
Keep dividing by the next highest number until you cannot divide anymore.

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

157351678351,1693,2035,84516,01522,421112,105534,9012,674,5053,744,30718,721,535
-1-5-7-35-167-835-1,169-3,203-5,845-16,015-22,421-112,105-534,901-2,674,505-3,744,307-18,721,535

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