Q: What are the factor combinations of the number 1,062,499?

 A:
Positive:   1 x 106249919 x 55921
Negative: -1 x -1062499-19 x -55921


How do I find the factor combinations of the number 1,062,499?

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 1,062,499, 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 1,062,499
-1 -1,062,499

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 1,062,499.

Example:
1 x 1,062,499 = 1,062,499
and
-1 x -1,062,499 = 1,062,499
Notice both answers equal 1,062,499

With that explanation out of the way, let's continue. Next, we take the number 1,062,499 and divide it by 2:

1,062,499 ÷ 2 = 531,249.5

If the quotient is a whole number, then 2 and 531,249.5 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 1,062,499
-1 -1,062,499

Now, we try dividing 1,062,499 by 3:

1,062,499 ÷ 3 = 354,166.3333

If the quotient is a whole number, then 3 and 354,166.3333 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 1,062,499
-1 -1,062,499

Let's try dividing by 4:

1,062,499 ÷ 4 = 265,624.75

If the quotient is a whole number, then 4 and 265,624.75 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 1,062,499
-1 1,062,499
Keep dividing by the next highest number until you cannot divide anymore.

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

11955,9211,062,499
-1-19-55,921-1,062,499

More Examples

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