Q: What are the factor combinations of the number 1,397,179?

 A:
Positive:   1 x 13971797 x 19959717 x 8218759 x 23681119 x 11741199 x 7021413 x 33831003 x 1393
Negative: -1 x -1397179-7 x -199597-17 x -82187-59 x -23681-119 x -11741-199 x -7021-413 x -3383-1003 x -1393


How do I find the factor combinations of the number 1,397,179?

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 1,397,179, 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 1,397,179
-1 -1,397,179

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 1,397,179.

Example:
1 x 1,397,179 = 1,397,179
and
-1 x -1,397,179 = 1,397,179
Notice both answers equal 1,397,179

With that explanation out of the way, let's continue. Next, we take the number 1,397,179 and divide it by 2:

1,397,179 ÷ 2 = 698,589.5

If the quotient is a whole number, then 2 and 698,589.5 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 1,397,179
-1 -1,397,179

Now, we try dividing 1,397,179 by 3:

1,397,179 ÷ 3 = 465,726.3333

If the quotient is a whole number, then 3 and 465,726.3333 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 1,397,179
-1 -1,397,179

Let's try dividing by 4:

1,397,179 ÷ 4 = 349,294.75

If the quotient is a whole number, then 4 and 349,294.75 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 1,397,179
-1 1,397,179
Keep dividing by the next highest number until you cannot divide anymore.

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

1717591191994131,0031,3933,3837,02111,74123,68182,187199,5971,397,179
-1-7-17-59-119-199-413-1,003-1,393-3,383-7,021-11,741-23,681-82,187-199,597-1,397,179

More Examples

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