Q: What are the factor combinations of the number 18,739,885?

 A:
Positive:   1 x 187398855 x 3747977269 x 696651345 x 13933
Negative: -1 x -18739885-5 x -3747977-269 x -69665-1345 x -13933


How do I find the factor combinations of the number 18,739,885?

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 18,739,885, 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 18,739,885
-1 -18,739,885

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 18,739,885.

Example:
1 x 18,739,885 = 18,739,885
and
-1 x -18,739,885 = 18,739,885
Notice both answers equal 18,739,885

With that explanation out of the way, let's continue. Next, we take the number 18,739,885 and divide it by 2:

18,739,885 ÷ 2 = 9,369,942.5

If the quotient is a whole number, then 2 and 9,369,942.5 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 18,739,885
-1 -18,739,885

Now, we try dividing 18,739,885 by 3:

18,739,885 ÷ 3 = 6,246,628.3333

If the quotient is a whole number, then 3 and 6,246,628.3333 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 18,739,885
-1 -18,739,885

Let's try dividing by 4:

18,739,885 ÷ 4 = 4,684,971.25

If the quotient is a whole number, then 4 and 4,684,971.25 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 18,739,885
-1 18,739,885
Keep dividing by the next highest number until you cannot divide anymore.

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

152691,34513,93369,6653,747,97718,739,885
-1-5-269-1,345-13,933-69,665-3,747,977-18,739,885

More Examples

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