Q: What are the factor combinations of the number 18,140,785?

 A:
Positive:   1 x 181407855 x 362815713 x 139544517 x 106710565 x 27908985 x 213421221 x 820851105 x 16417
Negative: -1 x -18140785-5 x -3628157-13 x -1395445-17 x -1067105-65 x -279089-85 x -213421-221 x -82085-1105 x -16417


How do I find the factor combinations of the number 18,140,785?

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 18,140,785, 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 18,140,785
-1 -18,140,785

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 18,140,785.

Example:
1 x 18,140,785 = 18,140,785
and
-1 x -18,140,785 = 18,140,785
Notice both answers equal 18,140,785

With that explanation out of the way, let's continue. Next, we take the number 18,140,785 and divide it by 2:

18,140,785 ÷ 2 = 9,070,392.5

If the quotient is a whole number, then 2 and 9,070,392.5 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 18,140,785
-1 -18,140,785

Now, we try dividing 18,140,785 by 3:

18,140,785 ÷ 3 = 6,046,928.3333

If the quotient is a whole number, then 3 and 6,046,928.3333 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 18,140,785
-1 -18,140,785

Let's try dividing by 4:

18,140,785 ÷ 4 = 4,535,196.25

If the quotient is a whole number, then 4 and 4,535,196.25 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 18,140,785
-1 18,140,785
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,10516,41782,085213,421279,0891,067,1051,395,4453,628,15718,140,785
-1-5-13-17-65-85-221-1,105-16,417-82,085-213,421-279,089-1,067,105-1,395,445-3,628,157-18,140,785

More Examples

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