Q: What are the factor combinations of the number 942,799?

 A:
Positive:   1 x 94279911 x 8570913 x 7252319 x 49621143 x 6593209 x 4511247 x 3817347 x 2717
Negative: -1 x -942799-11 x -85709-13 x -72523-19 x -49621-143 x -6593-209 x -4511-247 x -3817-347 x -2717


How do I find the factor combinations of the number 942,799?

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 942,799, 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.

1 942,799
-1 -942,799

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 942,799.

Example:
1 x 942,799 = 942,799
and
-1 x -942,799 = 942,799
Notice both answers equal 942,799

With that explanation out of the way, let's continue. Next, we take the number 942,799 and divide it by 2:

942,799 ÷ 2 = 471,399.5

If the quotient is a whole number, then 2 and 471,399.5 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:

1 942,799
-1 -942,799

Now, we try dividing 942,799 by 3:

942,799 ÷ 3 = 314,266.3333

If the quotient is a whole number, then 3 and 314,266.3333 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:

1 942,799
-1 -942,799

Let's try dividing by 4:

942,799 ÷ 4 = 235,699.75

If the quotient is a whole number, then 4 and 235,699.75 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:

1 942,799
-1 942,799
Keep dividing by the next highest number until you cannot divide anymore.

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

11113191432092473472,7173,8174,5116,59349,62172,52385,709942,799
-1-11-13-19-143-209-247-347-2,717-3,817-4,511-6,593-49,621-72,523-85,709-942,799

More Examples

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