Q: What are the factor combinations of the number 994,771?

 A:
Positive:   1 x 99477173 x 13627
Negative: -1 x -994771-73 x -13627


How do I find the factor combinations of the number 994,771?

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 994,771, 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.

1 994,771
-1 -994,771

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 994,771.

Example:
1 x 994,771 = 994,771
and
-1 x -994,771 = 994,771
Notice both answers equal 994,771

With that explanation out of the way, let's continue. Next, we take the number 994,771 and divide it by 2:

994,771 ÷ 2 = 497,385.5

If the quotient is a whole number, then 2 and 497,385.5 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:

1 994,771
-1 -994,771

Now, we try dividing 994,771 by 3:

994,771 ÷ 3 = 331,590.3333

If the quotient is a whole number, then 3 and 331,590.3333 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:

1 994,771
-1 -994,771

Let's try dividing by 4:

994,771 ÷ 4 = 248,692.75

If the quotient is a whole number, then 4 and 248,692.75 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:

1 994,771
-1 994,771
Keep dividing by the next highest number until you cannot divide anymore.

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

17313,627994,771
-1-73-13,627-994,771

More Examples

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