Q: What are the factor combinations of the number 1,027,675?

 A:
Positive:   1 x 10276755 x 20553511 x 9342525 x 4110737 x 2777555 x 18685101 x 10175185 x 5555275 x 3737407 x 2525505 x 2035925 x 1111
Negative: -1 x -1027675-5 x -205535-11 x -93425-25 x -41107-37 x -27775-55 x -18685-101 x -10175-185 x -5555-275 x -3737-407 x -2525-505 x -2035-925 x -1111


How do I find the factor combinations of the number 1,027,675?

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 1,027,675, 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 1,027,675
-1 -1,027,675

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 1,027,675.

Example:
1 x 1,027,675 = 1,027,675
and
-1 x -1,027,675 = 1,027,675
Notice both answers equal 1,027,675

With that explanation out of the way, let's continue. Next, we take the number 1,027,675 and divide it by 2:

1,027,675 ÷ 2 = 513,837.5

If the quotient is a whole number, then 2 and 513,837.5 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 1,027,675
-1 -1,027,675

Now, we try dividing 1,027,675 by 3:

1,027,675 ÷ 3 = 342,558.3333

If the quotient is a whole number, then 3 and 342,558.3333 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 1,027,675
-1 -1,027,675

Let's try dividing by 4:

1,027,675 ÷ 4 = 256,918.75

If the quotient is a whole number, then 4 and 256,918.75 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 1,027,675
-1 1,027,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15112537551011852754075059251,1112,0352,5253,7375,55510,17518,68527,77541,10793,425205,5351,027,675
-1-5-11-25-37-55-101-185-275-407-505-925-1,111-2,035-2,525-3,737-5,555-10,175-18,685-27,775-41,107-93,425-205,535-1,027,675

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