Q: What are the factor combinations of the number 2,013,011?

 A:
Positive:   1 x 20130117 x 28757311 x 18300113 x 15484777 x 2614391 x 22121143 x 140771001 x 2011
Negative: -1 x -2013011-7 x -287573-11 x -183001-13 x -154847-77 x -26143-91 x -22121-143 x -14077-1001 x -2011


How do I find the factor combinations of the number 2,013,011?

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 2,013,011, 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 2,013,011
-1 -2,013,011

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 2,013,011.

Example:
1 x 2,013,011 = 2,013,011
and
-1 x -2,013,011 = 2,013,011
Notice both answers equal 2,013,011

With that explanation out of the way, let's continue. Next, we take the number 2,013,011 and divide it by 2:

2,013,011 ÷ 2 = 1,006,505.5

If the quotient is a whole number, then 2 and 1,006,505.5 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 2,013,011
-1 -2,013,011

Now, we try dividing 2,013,011 by 3:

2,013,011 ÷ 3 = 671,003.6667

If the quotient is a whole number, then 3 and 671,003.6667 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 2,013,011
-1 -2,013,011

Let's try dividing by 4:

2,013,011 ÷ 4 = 503,252.75

If the quotient is a whole number, then 4 and 503,252.75 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 2,013,011
-1 2,013,011
Keep dividing by the next highest number until you cannot divide anymore.

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

17111377911431,0012,01114,07722,12126,143154,847183,001287,5732,013,011
-1-7-11-13-77-91-143-1,001-2,011-14,077-22,121-26,143-154,847-183,001-287,573-2,013,011

More Examples

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