Q: What are the factor combinations of the number 17,987,333?

 A:
Positive:   1 x 179873337 x 256961913 x 138364191 x 197663157 x 1145691099 x 163671259 x 142872041 x 8813
Negative: -1 x -17987333-7 x -2569619-13 x -1383641-91 x -197663-157 x -114569-1099 x -16367-1259 x -14287-2041 x -8813


How do I find the factor combinations of the number 17,987,333?

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 17,987,333, 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 17,987,333
-1 -17,987,333

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 17,987,333.

Example:
1 x 17,987,333 = 17,987,333
and
-1 x -17,987,333 = 17,987,333
Notice both answers equal 17,987,333

With that explanation out of the way, let's continue. Next, we take the number 17,987,333 and divide it by 2:

17,987,333 ÷ 2 = 8,993,666.5

If the quotient is a whole number, then 2 and 8,993,666.5 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 17,987,333
-1 -17,987,333

Now, we try dividing 17,987,333 by 3:

17,987,333 ÷ 3 = 5,995,777.6667

If the quotient is a whole number, then 3 and 5,995,777.6667 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 17,987,333
-1 -17,987,333

Let's try dividing by 4:

17,987,333 ÷ 4 = 4,496,833.25

If the quotient is a whole number, then 4 and 4,496,833.25 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 17,987,333
-1 17,987,333
Keep dividing by the next highest number until you cannot divide anymore.

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

1713911571,0991,2592,0418,81314,28716,367114,569197,6631,383,6412,569,61917,987,333
-1-7-13-91-157-1,099-1,259-2,041-8,813-14,287-16,367-114,569-197,663-1,383,641-2,569,619-17,987,333

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