Q: What are the factor combinations of the number 1,001,143?

 A:
Positive:   1 x 100114311 x 9101313 x 77011143 x 7001
Negative: -1 x -1001143-11 x -91013-13 x -77011-143 x -7001


How do I find the factor combinations of the number 1,001,143?

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 1,001,143, 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 1,001,143
-1 -1,001,143

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 1,001,143.

Example:
1 x 1,001,143 = 1,001,143
and
-1 x -1,001,143 = 1,001,143
Notice both answers equal 1,001,143

With that explanation out of the way, let's continue. Next, we take the number 1,001,143 and divide it by 2:

1,001,143 ÷ 2 = 500,571.5

If the quotient is a whole number, then 2 and 500,571.5 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 1,001,143
-1 -1,001,143

Now, we try dividing 1,001,143 by 3:

1,001,143 ÷ 3 = 333,714.3333

If the quotient is a whole number, then 3 and 333,714.3333 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 1,001,143
-1 -1,001,143

Let's try dividing by 4:

1,001,143 ÷ 4 = 250,285.75

If the quotient is a whole number, then 4 and 250,285.75 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 1,001,143
-1 1,001,143
Keep dividing by the next highest number until you cannot divide anymore.

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

111131437,00177,01191,0131,001,143
-1-11-13-143-7,001-77,011-91,013-1,001,143

More Examples

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