Q: What are the factor combinations of the number 1,801,735?

 A:
Positive:   1 x 18017355 x 36034713 x 13859553 x 3399565 x 27719265 x 6799523 x 3445689 x 2615
Negative: -1 x -1801735-5 x -360347-13 x -138595-53 x -33995-65 x -27719-265 x -6799-523 x -3445-689 x -2615


How do I find the factor combinations of the number 1,801,735?

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 1,801,735, 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 1,801,735
-1 -1,801,735

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 1,801,735.

Example:
1 x 1,801,735 = 1,801,735
and
-1 x -1,801,735 = 1,801,735
Notice both answers equal 1,801,735

With that explanation out of the way, let's continue. Next, we take the number 1,801,735 and divide it by 2:

1,801,735 ÷ 2 = 900,867.5

If the quotient is a whole number, then 2 and 900,867.5 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 1,801,735
-1 -1,801,735

Now, we try dividing 1,801,735 by 3:

1,801,735 ÷ 3 = 600,578.3333

If the quotient is a whole number, then 3 and 600,578.3333 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 1,801,735
-1 -1,801,735

Let's try dividing by 4:

1,801,735 ÷ 4 = 450,433.75

If the quotient is a whole number, then 4 and 450,433.75 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 1,801,735
-1 1,801,735
Keep dividing by the next highest number until you cannot divide anymore.

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

151353652655236892,6153,4456,79927,71933,995138,595360,3471,801,735
-1-5-13-53-65-265-523-689-2,615-3,445-6,799-27,719-33,995-138,595-360,347-1,801,735

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