Q: What are the factor combinations of the number 1,250,011?

 A:
Positive:   1 x 12500117 x 178573283 x 4417631 x 1981
Negative: -1 x -1250011-7 x -178573-283 x -4417-631 x -1981


How do I find the factor combinations of the number 1,250,011?

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 1,250,011, 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 1,250,011
-1 -1,250,011

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 1,250,011.

Example:
1 x 1,250,011 = 1,250,011
and
-1 x -1,250,011 = 1,250,011
Notice both answers equal 1,250,011

With that explanation out of the way, let's continue. Next, we take the number 1,250,011 and divide it by 2:

1,250,011 ÷ 2 = 625,005.5

If the quotient is a whole number, then 2 and 625,005.5 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 1,250,011
-1 -1,250,011

Now, we try dividing 1,250,011 by 3:

1,250,011 ÷ 3 = 416,670.3333

If the quotient is a whole number, then 3 and 416,670.3333 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 1,250,011
-1 -1,250,011

Let's try dividing by 4:

1,250,011 ÷ 4 = 312,502.75

If the quotient is a whole number, then 4 and 312,502.75 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 1,250,011
-1 1,250,011
Keep dividing by the next highest number until you cannot divide anymore.

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

172836311,9814,417178,5731,250,011
-1-7-283-631-1,981-4,417-178,573-1,250,011

More Examples

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