Q: What are the factor combinations of the number 1,396,675?

 A:
Positive:   1 x 13966755 x 2793357 x 19952523 x 6072525 x 5586735 x 39905115 x 12145161 x 8675175 x 7981347 x 4025575 x 2429805 x 1735
Negative: -1 x -1396675-5 x -279335-7 x -199525-23 x -60725-25 x -55867-35 x -39905-115 x -12145-161 x -8675-175 x -7981-347 x -4025-575 x -2429-805 x -1735


How do I find the factor combinations of the number 1,396,675?

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 1,396,675, 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 1,396,675
-1 -1,396,675

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 1,396,675.

Example:
1 x 1,396,675 = 1,396,675
and
-1 x -1,396,675 = 1,396,675
Notice both answers equal 1,396,675

With that explanation out of the way, let's continue. Next, we take the number 1,396,675 and divide it by 2:

1,396,675 ÷ 2 = 698,337.5

If the quotient is a whole number, then 2 and 698,337.5 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 1,396,675
-1 -1,396,675

Now, we try dividing 1,396,675 by 3:

1,396,675 ÷ 3 = 465,558.3333

If the quotient is a whole number, then 3 and 465,558.3333 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 1,396,675
-1 -1,396,675

Let's try dividing by 4:

1,396,675 ÷ 4 = 349,168.75

If the quotient is a whole number, then 4 and 349,168.75 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 1,396,675
-1 1,396,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1572325351151611753475758051,7352,4294,0257,9818,67512,14539,90555,86760,725199,525279,3351,396,675
-1-5-7-23-25-35-115-161-175-347-575-805-1,735-2,429-4,025-7,981-8,675-12,145-39,905-55,867-60,725-199,525-279,335-1,396,675

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