Q: What are the factor combinations of the number 18,235,987?

 A:
Positive:   1 x 182359877 x 260514111 x 165781723 x 79286949 x 37216377 x 236831161 x 113267253 x 72079539 x 338331127 x 161811471 x 123971771 x 10297
Negative: -1 x -18235987-7 x -2605141-11 x -1657817-23 x -792869-49 x -372163-77 x -236831-161 x -113267-253 x -72079-539 x -33833-1127 x -16181-1471 x -12397-1771 x -10297


How do I find the factor combinations of the number 18,235,987?

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 18,235,987, 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 18,235,987
-1 -18,235,987

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 18,235,987.

Example:
1 x 18,235,987 = 18,235,987
and
-1 x -18,235,987 = 18,235,987
Notice both answers equal 18,235,987

With that explanation out of the way, let's continue. Next, we take the number 18,235,987 and divide it by 2:

18,235,987 ÷ 2 = 9,117,993.5

If the quotient is a whole number, then 2 and 9,117,993.5 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 18,235,987
-1 -18,235,987

Now, we try dividing 18,235,987 by 3:

18,235,987 ÷ 3 = 6,078,662.3333

If the quotient is a whole number, then 3 and 6,078,662.3333 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 18,235,987
-1 -18,235,987

Let's try dividing by 4:

18,235,987 ÷ 4 = 4,558,996.75

If the quotient is a whole number, then 4 and 4,558,996.75 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 18,235,987
-1 18,235,987
Keep dividing by the next highest number until you cannot divide anymore.

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

17112349771612535391,1271,4711,77110,29712,39716,18133,83372,079113,267236,831372,163792,8691,657,8172,605,14118,235,987
-1-7-11-23-49-77-161-253-539-1,127-1,471-1,771-10,297-12,397-16,181-33,833-72,079-113,267-236,831-372,163-792,869-1,657,817-2,605,141-18,235,987

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