Q: What are the factor combinations of the number 1,311,703?

 A:
Positive:   1 x 131170317 x 7715919 x 6903731 x 42313131 x 10013323 x 4061527 x 2489589 x 2227
Negative: -1 x -1311703-17 x -77159-19 x -69037-31 x -42313-131 x -10013-323 x -4061-527 x -2489-589 x -2227


How do I find the factor combinations of the number 1,311,703?

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 1,311,703, 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 1,311,703
-1 -1,311,703

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 1,311,703.

Example:
1 x 1,311,703 = 1,311,703
and
-1 x -1,311,703 = 1,311,703
Notice both answers equal 1,311,703

With that explanation out of the way, let's continue. Next, we take the number 1,311,703 and divide it by 2:

1,311,703 ÷ 2 = 655,851.5

If the quotient is a whole number, then 2 and 655,851.5 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 1,311,703
-1 -1,311,703

Now, we try dividing 1,311,703 by 3:

1,311,703 ÷ 3 = 437,234.3333

If the quotient is a whole number, then 3 and 437,234.3333 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 1,311,703
-1 -1,311,703

Let's try dividing by 4:

1,311,703 ÷ 4 = 327,925.75

If the quotient is a whole number, then 4 and 327,925.75 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 1,311,703
-1 1,311,703
Keep dividing by the next highest number until you cannot divide anymore.

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

11719311313235275892,2272,4894,06110,01342,31369,03777,1591,311,703
-1-17-19-31-131-323-527-589-2,227-2,489-4,061-10,013-42,313-69,037-77,159-1,311,703

More Examples

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