Q: What are the factor combinations of the number 994,987?

 A:
Positive:   1 x 9949877 x 142141307 x 3241463 x 2149
Negative: -1 x -994987-7 x -142141-307 x -3241-463 x -2149


How do I find the factor combinations of the number 994,987?

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 994,987, 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.

1 994,987
-1 -994,987

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 994,987.

Example:
1 x 994,987 = 994,987
and
-1 x -994,987 = 994,987
Notice both answers equal 994,987

With that explanation out of the way, let's continue. Next, we take the number 994,987 and divide it by 2:

994,987 ÷ 2 = 497,493.5

If the quotient is a whole number, then 2 and 497,493.5 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:

1 994,987
-1 -994,987

Now, we try dividing 994,987 by 3:

994,987 ÷ 3 = 331,662.3333

If the quotient is a whole number, then 3 and 331,662.3333 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:

1 994,987
-1 -994,987

Let's try dividing by 4:

994,987 ÷ 4 = 248,746.75

If the quotient is a whole number, then 4 and 248,746.75 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:

1 994,987
-1 994,987
Keep dividing by the next highest number until you cannot divide anymore.

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

173074632,1493,241142,141994,987
-1-7-307-463-2,149-3,241-142,141-994,987

More Examples

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