Q: What are the factor combinations of the number 17,846,969?

 A:
Positive:   1 x 178469697 x 254956759 x 30249179 x 225911413 x 43213547 x 32627553 x 322733829 x 4661
Negative: -1 x -17846969-7 x -2549567-59 x -302491-79 x -225911-413 x -43213-547 x -32627-553 x -32273-3829 x -4661


How do I find the factor combinations of the number 17,846,969?

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 17,846,969, 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 17,846,969
-1 -17,846,969

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 17,846,969.

Example:
1 x 17,846,969 = 17,846,969
and
-1 x -17,846,969 = 17,846,969
Notice both answers equal 17,846,969

With that explanation out of the way, let's continue. Next, we take the number 17,846,969 and divide it by 2:

17,846,969 ÷ 2 = 8,923,484.5

If the quotient is a whole number, then 2 and 8,923,484.5 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 17,846,969
-1 -17,846,969

Now, we try dividing 17,846,969 by 3:

17,846,969 ÷ 3 = 5,948,989.6667

If the quotient is a whole number, then 3 and 5,948,989.6667 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 17,846,969
-1 -17,846,969

Let's try dividing by 4:

17,846,969 ÷ 4 = 4,461,742.25

If the quotient is a whole number, then 4 and 4,461,742.25 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 17,846,969
-1 17,846,969
Keep dividing by the next highest number until you cannot divide anymore.

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

1759794135475533,8294,66132,27332,62743,213225,911302,4912,549,56717,846,969
-1-7-59-79-413-547-553-3,829-4,661-32,273-32,627-43,213-225,911-302,491-2,549,567-17,846,969

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