Q: What are the factor combinations of the number 2,942,975?

 A:
Positive:   1 x 29429755 x 5885957 x 42042525 x 11771935 x 8408567 x 43925175 x 16817251 x 11725335 x 8785469 x 62751255 x 23451675 x 1757
Negative: -1 x -2942975-5 x -588595-7 x -420425-25 x -117719-35 x -84085-67 x -43925-175 x -16817-251 x -11725-335 x -8785-469 x -6275-1255 x -2345-1675 x -1757


How do I find the factor combinations of the number 2,942,975?

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 2,942,975, 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 2,942,975
-1 -2,942,975

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 2,942,975.

Example:
1 x 2,942,975 = 2,942,975
and
-1 x -2,942,975 = 2,942,975
Notice both answers equal 2,942,975

With that explanation out of the way, let's continue. Next, we take the number 2,942,975 and divide it by 2:

2,942,975 ÷ 2 = 1,471,487.5

If the quotient is a whole number, then 2 and 1,471,487.5 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 2,942,975
-1 -2,942,975

Now, we try dividing 2,942,975 by 3:

2,942,975 ÷ 3 = 980,991.6667

If the quotient is a whole number, then 3 and 980,991.6667 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 2,942,975
-1 -2,942,975

Let's try dividing by 4:

2,942,975 ÷ 4 = 735,743.75

If the quotient is a whole number, then 4 and 735,743.75 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 2,942,975
-1 2,942,975
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535671752513354691,2551,6751,7572,3456,2758,78511,72516,81743,92584,085117,719420,425588,5952,942,975
-1-5-7-25-35-67-175-251-335-469-1,255-1,675-1,757-2,345-6,275-8,785-11,725-16,817-43,925-84,085-117,719-420,425-588,595-2,942,975

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