Q: What are the factor combinations of the number 1,396,885?

 A:
Positive:   1 x 13968855 x 2793777 x 19955535 x 39911107 x 13055373 x 3745535 x 2611749 x 1865
Negative: -1 x -1396885-5 x -279377-7 x -199555-35 x -39911-107 x -13055-373 x -3745-535 x -2611-749 x -1865


How do I find the factor combinations of the number 1,396,885?

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 1,396,885, 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 1,396,885
-1 -1,396,885

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 1,396,885.

Example:
1 x 1,396,885 = 1,396,885
and
-1 x -1,396,885 = 1,396,885
Notice both answers equal 1,396,885

With that explanation out of the way, let's continue. Next, we take the number 1,396,885 and divide it by 2:

1,396,885 ÷ 2 = 698,442.5

If the quotient is a whole number, then 2 and 698,442.5 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 1,396,885
-1 -1,396,885

Now, we try dividing 1,396,885 by 3:

1,396,885 ÷ 3 = 465,628.3333

If the quotient is a whole number, then 3 and 465,628.3333 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 1,396,885
-1 -1,396,885

Let's try dividing by 4:

1,396,885 ÷ 4 = 349,221.25

If the quotient is a whole number, then 4 and 349,221.25 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 1,396,885
-1 1,396,885
Keep dividing by the next highest number until you cannot divide anymore.

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

157351073735357491,8652,6113,74513,05539,911199,555279,3771,396,885
-1-5-7-35-107-373-535-749-1,865-2,611-3,745-13,055-39,911-199,555-279,377-1,396,885

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