Q: What are the factor combinations of the number 17,880,845?

 A:
Positive:   1 x 178808455 x 3576169131 x 136495655 x 27299
Negative: -1 x -17880845-5 x -3576169-131 x -136495-655 x -27299


How do I find the factor combinations of the number 17,880,845?

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 17,880,845, 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 17,880,845
-1 -17,880,845

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 17,880,845.

Example:
1 x 17,880,845 = 17,880,845
and
-1 x -17,880,845 = 17,880,845
Notice both answers equal 17,880,845

With that explanation out of the way, let's continue. Next, we take the number 17,880,845 and divide it by 2:

17,880,845 ÷ 2 = 8,940,422.5

If the quotient is a whole number, then 2 and 8,940,422.5 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 17,880,845
-1 -17,880,845

Now, we try dividing 17,880,845 by 3:

17,880,845 ÷ 3 = 5,960,281.6667

If the quotient is a whole number, then 3 and 5,960,281.6667 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 17,880,845
-1 -17,880,845

Let's try dividing by 4:

17,880,845 ÷ 4 = 4,470,211.25

If the quotient is a whole number, then 4 and 4,470,211.25 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 17,880,845
-1 17,880,845
Keep dividing by the next highest number until you cannot divide anymore.

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

1513165527,299136,4953,576,16917,880,845
-1-5-131-655-27,299-136,495-3,576,169-17,880,845

More Examples

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