Q: What are the factor combinations of the number 18,137,275?

 A:
Positive:   1 x 181372755 x 362745513 x 139517525 x 72549165 x 279035325 x 55807
Negative: -1 x -18137275-5 x -3627455-13 x -1395175-25 x -725491-65 x -279035-325 x -55807


How do I find the factor combinations of the number 18,137,275?

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 18,137,275, 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 18,137,275
-1 -18,137,275

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 18,137,275.

Example:
1 x 18,137,275 = 18,137,275
and
-1 x -18,137,275 = 18,137,275
Notice both answers equal 18,137,275

With that explanation out of the way, let's continue. Next, we take the number 18,137,275 and divide it by 2:

18,137,275 ÷ 2 = 9,068,637.5

If the quotient is a whole number, then 2 and 9,068,637.5 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 18,137,275
-1 -18,137,275

Now, we try dividing 18,137,275 by 3:

18,137,275 ÷ 3 = 6,045,758.3333

If the quotient is a whole number, then 3 and 6,045,758.3333 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 18,137,275
-1 -18,137,275

Let's try dividing by 4:

18,137,275 ÷ 4 = 4,534,318.75

If the quotient is a whole number, then 4 and 4,534,318.75 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 18,137,275
-1 18,137,275
Keep dividing by the next highest number until you cannot divide anymore.

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

1513256532555,807279,035725,4911,395,1753,627,45518,137,275
-1-5-13-25-65-325-55,807-279,035-725,491-1,395,175-3,627,455-18,137,275

More Examples

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