Q: What are the factor combinations of the number 13,201,031?

 A:
Positive:   1 x 1320103147 x 280873157 x 840831789 x 7379
Negative: -1 x -13201031-47 x -280873-157 x -84083-1789 x -7379


How do I find the factor combinations of the number 13,201,031?

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 13,201,031, 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 13,201,031
-1 -13,201,031

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 13,201,031.

Example:
1 x 13,201,031 = 13,201,031
and
-1 x -13,201,031 = 13,201,031
Notice both answers equal 13,201,031

With that explanation out of the way, let's continue. Next, we take the number 13,201,031 and divide it by 2:

13,201,031 ÷ 2 = 6,600,515.5

If the quotient is a whole number, then 2 and 6,600,515.5 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 13,201,031
-1 -13,201,031

Now, we try dividing 13,201,031 by 3:

13,201,031 ÷ 3 = 4,400,343.6667

If the quotient is a whole number, then 3 and 4,400,343.6667 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 13,201,031
-1 -13,201,031

Let's try dividing by 4:

13,201,031 ÷ 4 = 3,300,257.75

If the quotient is a whole number, then 4 and 3,300,257.75 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 13,201,031
-1 13,201,031
Keep dividing by the next highest number until you cannot divide anymore.

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

1471571,7897,37984,083280,87313,201,031
-1-47-157-1,789-7,379-84,083-280,873-13,201,031

More Examples

Here are some more numbers to try:

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