Q: What are the factor combinations of the number 18,361,021?

 A:
Positive:   1 x 183610217 x 262300331 x 592291191 x 96131217 x 84613443 x 414471337 x 137333101 x 5921
Negative: -1 x -18361021-7 x -2623003-31 x -592291-191 x -96131-217 x -84613-443 x -41447-1337 x -13733-3101 x -5921


How do I find the factor combinations of the number 18,361,021?

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 18,361,021, 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 18,361,021
-1 -18,361,021

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 18,361,021.

Example:
1 x 18,361,021 = 18,361,021
and
-1 x -18,361,021 = 18,361,021
Notice both answers equal 18,361,021

With that explanation out of the way, let's continue. Next, we take the number 18,361,021 and divide it by 2:

18,361,021 ÷ 2 = 9,180,510.5

If the quotient is a whole number, then 2 and 9,180,510.5 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 18,361,021
-1 -18,361,021

Now, we try dividing 18,361,021 by 3:

18,361,021 ÷ 3 = 6,120,340.3333

If the quotient is a whole number, then 3 and 6,120,340.3333 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 18,361,021
-1 -18,361,021

Let's try dividing by 4:

18,361,021 ÷ 4 = 4,590,255.25

If the quotient is a whole number, then 4 and 4,590,255.25 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 18,361,021
-1 18,361,021
Keep dividing by the next highest number until you cannot divide anymore.

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

17311912174431,3373,1015,92113,73341,44784,61396,131592,2912,623,00318,361,021
-1-7-31-191-217-443-1,337-3,101-5,921-13,733-41,447-84,613-96,131-592,291-2,623,003-18,361,021

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