Q: What are the factor combinations of the number 18,618,461?

 A:
Positive:   1 x 1861846119 x 979919
Negative: -1 x -18618461-19 x -979919


How do I find the factor combinations of the number 18,618,461?

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 18,618,461, 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 18,618,461
-1 -18,618,461

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 18,618,461.

Example:
1 x 18,618,461 = 18,618,461
and
-1 x -18,618,461 = 18,618,461
Notice both answers equal 18,618,461

With that explanation out of the way, let's continue. Next, we take the number 18,618,461 and divide it by 2:

18,618,461 ÷ 2 = 9,309,230.5

If the quotient is a whole number, then 2 and 9,309,230.5 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 18,618,461
-1 -18,618,461

Now, we try dividing 18,618,461 by 3:

18,618,461 ÷ 3 = 6,206,153.6667

If the quotient is a whole number, then 3 and 6,206,153.6667 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 18,618,461
-1 -18,618,461

Let's try dividing by 4:

18,618,461 ÷ 4 = 4,654,615.25

If the quotient is a whole number, then 4 and 4,654,615.25 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 18,618,461
-1 18,618,461
Keep dividing by the next highest number until you cannot divide anymore.

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

119979,91918,618,461
-1-19-979,919-18,618,461

More Examples

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