Q: What are the factor combinations of the number 10,442,813?

 A:
Positive:   1 x 1044281329 x 360097293 x 356411229 x 8497
Negative: -1 x -10442813-29 x -360097-293 x -35641-1229 x -8497


How do I find the factor combinations of the number 10,442,813?

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 10,442,813, 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 10,442,813
-1 -10,442,813

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 10,442,813.

Example:
1 x 10,442,813 = 10,442,813
and
-1 x -10,442,813 = 10,442,813
Notice both answers equal 10,442,813

With that explanation out of the way, let's continue. Next, we take the number 10,442,813 and divide it by 2:

10,442,813 ÷ 2 = 5,221,406.5

If the quotient is a whole number, then 2 and 5,221,406.5 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 10,442,813
-1 -10,442,813

Now, we try dividing 10,442,813 by 3:

10,442,813 ÷ 3 = 3,480,937.6667

If the quotient is a whole number, then 3 and 3,480,937.6667 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 10,442,813
-1 -10,442,813

Let's try dividing by 4:

10,442,813 ÷ 4 = 2,610,703.25

If the quotient is a whole number, then 4 and 2,610,703.25 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 10,442,813
-1 10,442,813
Keep dividing by the next highest number until you cannot divide anymore.

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

1292931,2298,49735,641360,09710,442,813
-1-29-293-1,229-8,497-35,641-360,097-10,442,813

More Examples

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