Q: What are the factor combinations of the number 2,407,013?

 A:
Positive:   1 x 24070137 x 34385917 x 141589113 x 21301119 x 20227179 x 13447791 x 30431253 x 1921
Negative: -1 x -2407013-7 x -343859-17 x -141589-113 x -21301-119 x -20227-179 x -13447-791 x -3043-1253 x -1921


How do I find the factor combinations of the number 2,407,013?

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 2,407,013, 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 2,407,013
-1 -2,407,013

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 2,407,013.

Example:
1 x 2,407,013 = 2,407,013
and
-1 x -2,407,013 = 2,407,013
Notice both answers equal 2,407,013

With that explanation out of the way, let's continue. Next, we take the number 2,407,013 and divide it by 2:

2,407,013 ÷ 2 = 1,203,506.5

If the quotient is a whole number, then 2 and 1,203,506.5 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 2,407,013
-1 -2,407,013

Now, we try dividing 2,407,013 by 3:

2,407,013 ÷ 3 = 802,337.6667

If the quotient is a whole number, then 3 and 802,337.6667 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 2,407,013
-1 -2,407,013

Let's try dividing by 4:

2,407,013 ÷ 4 = 601,753.25

If the quotient is a whole number, then 4 and 601,753.25 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 2,407,013
-1 2,407,013
Keep dividing by the next highest number until you cannot divide anymore.

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

17171131191797911,2531,9213,04313,44720,22721,301141,589343,8592,407,013
-1-7-17-113-119-179-791-1,253-1,921-3,043-13,447-20,227-21,301-141,589-343,859-2,407,013

More Examples

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