Q: What are the factor combinations of the number 18,541,621?

 A:
Positive:   1 x 185416217 x 264880361 x 303961173 x 107177251 x 73871427 x 434231211 x 153111757 x 10553
Negative: -1 x -18541621-7 x -2648803-61 x -303961-173 x -107177-251 x -73871-427 x -43423-1211 x -15311-1757 x -10553


How do I find the factor combinations of the number 18,541,621?

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 18,541,621, 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 18,541,621
-1 -18,541,621

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 18,541,621.

Example:
1 x 18,541,621 = 18,541,621
and
-1 x -18,541,621 = 18,541,621
Notice both answers equal 18,541,621

With that explanation out of the way, let's continue. Next, we take the number 18,541,621 and divide it by 2:

18,541,621 ÷ 2 = 9,270,810.5

If the quotient is a whole number, then 2 and 9,270,810.5 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 18,541,621
-1 -18,541,621

Now, we try dividing 18,541,621 by 3:

18,541,621 ÷ 3 = 6,180,540.3333

If the quotient is a whole number, then 3 and 6,180,540.3333 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 18,541,621
-1 -18,541,621

Let's try dividing by 4:

18,541,621 ÷ 4 = 4,635,405.25

If the quotient is a whole number, then 4 and 4,635,405.25 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 18,541,621
-1 18,541,621
Keep dividing by the next highest number until you cannot divide anymore.

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

17611732514271,2111,75710,55315,31143,42373,871107,177303,9612,648,80318,541,621
-1-7-61-173-251-427-1,211-1,757-10,553-15,311-43,423-73,871-107,177-303,961-2,648,803-18,541,621

More Examples

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