Q: What are the factor combinations of the number 1,317,173?

 A:
Positive:   1 x 131717311 x 11974313 x 10132161 x 21593143 x 9211151 x 8723671 x 1963793 x 1661
Negative: -1 x -1317173-11 x -119743-13 x -101321-61 x -21593-143 x -9211-151 x -8723-671 x -1963-793 x -1661


How do I find the factor combinations of the number 1,317,173?

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 1,317,173, 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 1,317,173
-1 -1,317,173

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 1,317,173.

Example:
1 x 1,317,173 = 1,317,173
and
-1 x -1,317,173 = 1,317,173
Notice both answers equal 1,317,173

With that explanation out of the way, let's continue. Next, we take the number 1,317,173 and divide it by 2:

1,317,173 ÷ 2 = 658,586.5

If the quotient is a whole number, then 2 and 658,586.5 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 1,317,173
-1 -1,317,173

Now, we try dividing 1,317,173 by 3:

1,317,173 ÷ 3 = 439,057.6667

If the quotient is a whole number, then 3 and 439,057.6667 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 1,317,173
-1 -1,317,173

Let's try dividing by 4:

1,317,173 ÷ 4 = 329,293.25

If the quotient is a whole number, then 4 and 329,293.25 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 1,317,173
-1 1,317,173
Keep dividing by the next highest number until you cannot divide anymore.

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

11113611431516717931,6611,9638,7239,21121,593101,321119,7431,317,173
-1-11-13-61-143-151-671-793-1,661-1,963-8,723-9,211-21,593-101,321-119,743-1,317,173

More Examples

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