Q: What are the factor combinations of the number 17,987,431?

 A:
Positive:   1 x 179874317 x 256963311 x 163522177 x 23360379 x 227689553 x 32527869 x 206992957 x 6083
Negative: -1 x -17987431-7 x -2569633-11 x -1635221-77 x -233603-79 x -227689-553 x -32527-869 x -20699-2957 x -6083


How do I find the factor combinations of the number 17,987,431?

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 17,987,431, 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 17,987,431
-1 -17,987,431

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 17,987,431.

Example:
1 x 17,987,431 = 17,987,431
and
-1 x -17,987,431 = 17,987,431
Notice both answers equal 17,987,431

With that explanation out of the way, let's continue. Next, we take the number 17,987,431 and divide it by 2:

17,987,431 ÷ 2 = 8,993,715.5

If the quotient is a whole number, then 2 and 8,993,715.5 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 17,987,431
-1 -17,987,431

Now, we try dividing 17,987,431 by 3:

17,987,431 ÷ 3 = 5,995,810.3333

If the quotient is a whole number, then 3 and 5,995,810.3333 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 17,987,431
-1 -17,987,431

Let's try dividing by 4:

17,987,431 ÷ 4 = 4,496,857.75

If the quotient is a whole number, then 4 and 4,496,857.75 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 17,987,431
-1 17,987,431
Keep dividing by the next highest number until you cannot divide anymore.

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

171177795538692,9576,08320,69932,527227,689233,6031,635,2212,569,63317,987,431
-1-7-11-77-79-553-869-2,957-6,083-20,699-32,527-227,689-233,603-1,635,221-2,569,633-17,987,431

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