Q: What are the factor combinations of the number 31,111,571?

 A:
Positive:   1 x 3111157123 x 1352677127 x 2449732921 x 10651
Negative: -1 x -31111571-23 x -1352677-127 x -244973-2921 x -10651


How do I find the factor combinations of the number 31,111,571?

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 31,111,571, 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 31,111,571
-1 -31,111,571

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 31,111,571.

Example:
1 x 31,111,571 = 31,111,571
and
-1 x -31,111,571 = 31,111,571
Notice both answers equal 31,111,571

With that explanation out of the way, let's continue. Next, we take the number 31,111,571 and divide it by 2:

31,111,571 ÷ 2 = 15,555,785.5

If the quotient is a whole number, then 2 and 15,555,785.5 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 31,111,571
-1 -31,111,571

Now, we try dividing 31,111,571 by 3:

31,111,571 ÷ 3 = 10,370,523.6667

If the quotient is a whole number, then 3 and 10,370,523.6667 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 31,111,571
-1 -31,111,571

Let's try dividing by 4:

31,111,571 ÷ 4 = 7,777,892.75

If the quotient is a whole number, then 4 and 7,777,892.75 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 31,111,571
-1 31,111,571
Keep dividing by the next highest number until you cannot divide anymore.

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

1231272,92110,651244,9731,352,67731,111,571
-1-23-127-2,921-10,651-244,973-1,352,677-31,111,571

More Examples

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