Q: What are the factor combinations of the number 2,442,013?

 A:
Positive:   1 x 24420137 x 34885919 x 12852743 x 5679149 x 4983761 x 40033133 x 18361301 x 8113427 x 5719817 x 2989931 x 26231159 x 2107
Negative: -1 x -2442013-7 x -348859-19 x -128527-43 x -56791-49 x -49837-61 x -40033-133 x -18361-301 x -8113-427 x -5719-817 x -2989-931 x -2623-1159 x -2107


How do I find the factor combinations of the number 2,442,013?

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 2,442,013, 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 2,442,013
-1 -2,442,013

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 2,442,013.

Example:
1 x 2,442,013 = 2,442,013
and
-1 x -2,442,013 = 2,442,013
Notice both answers equal 2,442,013

With that explanation out of the way, let's continue. Next, we take the number 2,442,013 and divide it by 2:

2,442,013 ÷ 2 = 1,221,006.5

If the quotient is a whole number, then 2 and 1,221,006.5 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 2,442,013
-1 -2,442,013

Now, we try dividing 2,442,013 by 3:

2,442,013 ÷ 3 = 814,004.3333

If the quotient is a whole number, then 3 and 814,004.3333 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 2,442,013
-1 -2,442,013

Let's try dividing by 4:

2,442,013 ÷ 4 = 610,503.25

If the quotient is a whole number, then 4 and 610,503.25 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 2,442,013
-1 2,442,013
Keep dividing by the next highest number until you cannot divide anymore.

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

17194349611333014278179311,1592,1072,6232,9895,7198,11318,36140,03349,83756,791128,527348,8592,442,013
-1-7-19-43-49-61-133-301-427-817-931-1,159-2,107-2,623-2,989-5,719-8,113-18,361-40,033-49,837-56,791-128,527-348,859-2,442,013

More Examples

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