Q: What are the factor combinations of the number 31,265,663?

 A:
Positive:   1 x 3126566311 x 284233313 x 2405051143 x 218641
Negative: -1 x -31265663-11 x -2842333-13 x -2405051-143 x -218641


How do I find the factor combinations of the number 31,265,663?

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 31,265,663, 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 31,265,663
-1 -31,265,663

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 31,265,663.

Example:
1 x 31,265,663 = 31,265,663
and
-1 x -31,265,663 = 31,265,663
Notice both answers equal 31,265,663

With that explanation out of the way, let's continue. Next, we take the number 31,265,663 and divide it by 2:

31,265,663 ÷ 2 = 15,632,831.5

If the quotient is a whole number, then 2 and 15,632,831.5 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 31,265,663
-1 -31,265,663

Now, we try dividing 31,265,663 by 3:

31,265,663 ÷ 3 = 10,421,887.6667

If the quotient is a whole number, then 3 and 10,421,887.6667 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 31,265,663
-1 -31,265,663

Let's try dividing by 4:

31,265,663 ÷ 4 = 7,816,415.75

If the quotient is a whole number, then 4 and 7,816,415.75 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 31,265,663
-1 31,265,663
Keep dividing by the next highest number until you cannot divide anymore.

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

11113143218,6412,405,0512,842,33331,265,663
-1-11-13-143-218,641-2,405,051-2,842,333-31,265,663

More Examples

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