Q: What are the factor combinations of the number 1,001,167?

 A:
Positive:   1 x 100116719 x 5269323 x 4352929 x 3452379 x 12673437 x 2291551 x 1817667 x 1501
Negative: -1 x -1001167-19 x -52693-23 x -43529-29 x -34523-79 x -12673-437 x -2291-551 x -1817-667 x -1501


How do I find the factor combinations of the number 1,001,167?

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 1,001,167, 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 1,001,167
-1 -1,001,167

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 1,001,167.

Example:
1 x 1,001,167 = 1,001,167
and
-1 x -1,001,167 = 1,001,167
Notice both answers equal 1,001,167

With that explanation out of the way, let's continue. Next, we take the number 1,001,167 and divide it by 2:

1,001,167 ÷ 2 = 500,583.5

If the quotient is a whole number, then 2 and 500,583.5 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 1,001,167
-1 -1,001,167

Now, we try dividing 1,001,167 by 3:

1,001,167 ÷ 3 = 333,722.3333

If the quotient is a whole number, then 3 and 333,722.3333 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 1,001,167
-1 -1,001,167

Let's try dividing by 4:

1,001,167 ÷ 4 = 250,291.75

If the quotient is a whole number, then 4 and 250,291.75 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 1,001,167
-1 1,001,167
Keep dividing by the next highest number until you cannot divide anymore.

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

1192329794375516671,5011,8172,29112,67334,52343,52952,6931,001,167
-1-19-23-29-79-437-551-667-1,501-1,817-2,291-12,673-34,523-43,529-52,693-1,001,167

More Examples

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