Q: What are the factor combinations of the number 1,240,855?

 A:
Positive:   1 x 12408555 x 2481717 x 17726511 x 11280535 x 3545355 x 2256177 x 16115121 x 10255293 x 4235385 x 3223605 x 2051847 x 1465
Negative: -1 x -1240855-5 x -248171-7 x -177265-11 x -112805-35 x -35453-55 x -22561-77 x -16115-121 x -10255-293 x -4235-385 x -3223-605 x -2051-847 x -1465


How do I find the factor combinations of the number 1,240,855?

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 1,240,855, 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 1,240,855
-1 -1,240,855

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 1,240,855.

Example:
1 x 1,240,855 = 1,240,855
and
-1 x -1,240,855 = 1,240,855
Notice both answers equal 1,240,855

With that explanation out of the way, let's continue. Next, we take the number 1,240,855 and divide it by 2:

1,240,855 ÷ 2 = 620,427.5

If the quotient is a whole number, then 2 and 620,427.5 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 1,240,855
-1 -1,240,855

Now, we try dividing 1,240,855 by 3:

1,240,855 ÷ 3 = 413,618.3333

If the quotient is a whole number, then 3 and 413,618.3333 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 1,240,855
-1 -1,240,855

Let's try dividing by 4:

1,240,855 ÷ 4 = 310,213.75

If the quotient is a whole number, then 4 and 310,213.75 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 1,240,855
-1 1,240,855
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555771212933856058471,4652,0513,2234,23510,25516,11522,56135,453112,805177,265248,1711,240,855
-1-5-7-11-35-55-77-121-293-385-605-847-1,465-2,051-3,223-4,235-10,255-16,115-22,561-35,453-112,805-177,265-248,171-1,240,855

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