Q: What are the factor combinations of the number 1,001,011?

 A:
Positive:   1 x 100101111 x 9100117 x 5888353 x 18887101 x 9911187 x 5353583 x 1717901 x 1111
Negative: -1 x -1001011-11 x -91001-17 x -58883-53 x -18887-101 x -9911-187 x -5353-583 x -1717-901 x -1111


How do I find the factor combinations of the number 1,001,011?

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 1,001,011, 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 1,001,011
-1 -1,001,011

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 1,001,011.

Example:
1 x 1,001,011 = 1,001,011
and
-1 x -1,001,011 = 1,001,011
Notice both answers equal 1,001,011

With that explanation out of the way, let's continue. Next, we take the number 1,001,011 and divide it by 2:

1,001,011 ÷ 2 = 500,505.5

If the quotient is a whole number, then 2 and 500,505.5 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 1,001,011
-1 -1,001,011

Now, we try dividing 1,001,011 by 3:

1,001,011 ÷ 3 = 333,670.3333

If the quotient is a whole number, then 3 and 333,670.3333 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 1,001,011
-1 -1,001,011

Let's try dividing by 4:

1,001,011 ÷ 4 = 250,252.75

If the quotient is a whole number, then 4 and 250,252.75 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 1,001,011
-1 1,001,011
Keep dividing by the next highest number until you cannot divide anymore.

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

11117531011875839011,1111,7175,3539,91118,88758,88391,0011,001,011
-1-11-17-53-101-187-583-901-1,111-1,717-5,353-9,911-18,887-58,883-91,001-1,001,011

More Examples

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