Q: What are the factor combinations of the number 13,312,013?

 A:
Positive:   1 x 1331201311 x 121018313 x 1024001127 x 104819143 x 93091733 x 181611397 x 95291651 x 8063
Negative: -1 x -13312013-11 x -1210183-13 x -1024001-127 x -104819-143 x -93091-733 x -18161-1397 x -9529-1651 x -8063


How do I find the factor combinations of the number 13,312,013?

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 13,312,013, 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 13,312,013
-1 -13,312,013

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 13,312,013.

Example:
1 x 13,312,013 = 13,312,013
and
-1 x -13,312,013 = 13,312,013
Notice both answers equal 13,312,013

With that explanation out of the way, let's continue. Next, we take the number 13,312,013 and divide it by 2:

13,312,013 ÷ 2 = 6,656,006.5

If the quotient is a whole number, then 2 and 6,656,006.5 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 13,312,013
-1 -13,312,013

Now, we try dividing 13,312,013 by 3:

13,312,013 ÷ 3 = 4,437,337.6667

If the quotient is a whole number, then 3 and 4,437,337.6667 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 13,312,013
-1 -13,312,013

Let's try dividing by 4:

13,312,013 ÷ 4 = 3,328,003.25

If the quotient is a whole number, then 4 and 3,328,003.25 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 13,312,013
-1 13,312,013
Keep dividing by the next highest number until you cannot divide anymore.

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

111131271437331,3971,6518,0639,52918,16193,091104,8191,024,0011,210,18313,312,013
-1-11-13-127-143-733-1,397-1,651-8,063-9,529-18,161-93,091-104,819-1,024,001-1,210,183-13,312,013

More Examples

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