Q: What are the factor combinations of the number 1,006,775?

 A:
Positive:   1 x 10067755 x 2013557 x 14382511 x 9152525 x 4027135 x 2876555 x 1830577 x 13075175 x 5753275 x 3661385 x 2615523 x 1925
Negative: -1 x -1006775-5 x -201355-7 x -143825-11 x -91525-25 x -40271-35 x -28765-55 x -18305-77 x -13075-175 x -5753-275 x -3661-385 x -2615-523 x -1925


How do I find the factor combinations of the number 1,006,775?

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 1,006,775, 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 1,006,775
-1 -1,006,775

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 1,006,775.

Example:
1 x 1,006,775 = 1,006,775
and
-1 x -1,006,775 = 1,006,775
Notice both answers equal 1,006,775

With that explanation out of the way, let's continue. Next, we take the number 1,006,775 and divide it by 2:

1,006,775 ÷ 2 = 503,387.5

If the quotient is a whole number, then 2 and 503,387.5 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 1,006,775
-1 -1,006,775

Now, we try dividing 1,006,775 by 3:

1,006,775 ÷ 3 = 335,591.6667

If the quotient is a whole number, then 3 and 335,591.6667 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 1,006,775
-1 -1,006,775

Let's try dividing by 4:

1,006,775 ÷ 4 = 251,693.75

If the quotient is a whole number, then 4 and 251,693.75 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 1,006,775
-1 1,006,775
Keep dividing by the next highest number until you cannot divide anymore.

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

15711253555771752753855231,9252,6153,6615,75313,07518,30528,76540,27191,525143,825201,3551,006,775
-1-5-7-11-25-35-55-77-175-275-385-523-1,925-2,615-3,661-5,753-13,075-18,305-28,765-40,271-91,525-143,825-201,355-1,006,775

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