Q: What are the factor combinations of the number 20,318,885?

 A:
Positive:   1 x 203188855 x 406377719 x 106941595 x 213883361 x 562851805 x 11257
Negative: -1 x -20318885-5 x -4063777-19 x -1069415-95 x -213883-361 x -56285-1805 x -11257


How do I find the factor combinations of the number 20,318,885?

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 20,318,885, 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 20,318,885
-1 -20,318,885

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 20,318,885.

Example:
1 x 20,318,885 = 20,318,885
and
-1 x -20,318,885 = 20,318,885
Notice both answers equal 20,318,885

With that explanation out of the way, let's continue. Next, we take the number 20,318,885 and divide it by 2:

20,318,885 ÷ 2 = 10,159,442.5

If the quotient is a whole number, then 2 and 10,159,442.5 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 20,318,885
-1 -20,318,885

Now, we try dividing 20,318,885 by 3:

20,318,885 ÷ 3 = 6,772,961.6667

If the quotient is a whole number, then 3 and 6,772,961.6667 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 20,318,885
-1 -20,318,885

Let's try dividing by 4:

20,318,885 ÷ 4 = 5,079,721.25

If the quotient is a whole number, then 4 and 5,079,721.25 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 20,318,885
-1 20,318,885
Keep dividing by the next highest number until you cannot divide anymore.

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

1519953611,80511,25756,285213,8831,069,4154,063,77720,318,885
-1-5-19-95-361-1,805-11,257-56,285-213,883-1,069,415-4,063,777-20,318,885

More Examples

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