Q: What are the factor combinations of the number 1,807,855?

 A:
Positive:   1 x 18078555 x 3615717 x 25826535 x 5165347 x 3846549 x 36895157 x 11515235 x 7693245 x 7379329 x 5495785 x 23031099 x 1645
Negative: -1 x -1807855-5 x -361571-7 x -258265-35 x -51653-47 x -38465-49 x -36895-157 x -11515-235 x -7693-245 x -7379-329 x -5495-785 x -2303-1099 x -1645


How do I find the factor combinations of the number 1,807,855?

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 1,807,855, 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 1,807,855
-1 -1,807,855

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 1,807,855.

Example:
1 x 1,807,855 = 1,807,855
and
-1 x -1,807,855 = 1,807,855
Notice both answers equal 1,807,855

With that explanation out of the way, let's continue. Next, we take the number 1,807,855 and divide it by 2:

1,807,855 ÷ 2 = 903,927.5

If the quotient is a whole number, then 2 and 903,927.5 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 1,807,855
-1 -1,807,855

Now, we try dividing 1,807,855 by 3:

1,807,855 ÷ 3 = 602,618.3333

If the quotient is a whole number, then 3 and 602,618.3333 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 1,807,855
-1 -1,807,855

Let's try dividing by 4:

1,807,855 ÷ 4 = 451,963.75

If the quotient is a whole number, then 4 and 451,963.75 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 1,807,855
-1 1,807,855
Keep dividing by the next highest number until you cannot divide anymore.

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

1573547491572352453297851,0991,6452,3035,4957,3797,69311,51536,89538,46551,653258,265361,5711,807,855
-1-5-7-35-47-49-157-235-245-329-785-1,099-1,645-2,303-5,495-7,379-7,693-11,515-36,895-38,465-51,653-258,265-361,571-1,807,855

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