Q: What are the factor combinations of the number 31,111,607?

 A:
Positive:   1 x 3111160719 x 1637453509 x 611233217 x 9671
Negative: -1 x -31111607-19 x -1637453-509 x -61123-3217 x -9671


How do I find the factor combinations of the number 31,111,607?

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 31,111,607, 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 31,111,607
-1 -31,111,607

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 31,111,607.

Example:
1 x 31,111,607 = 31,111,607
and
-1 x -31,111,607 = 31,111,607
Notice both answers equal 31,111,607

With that explanation out of the way, let's continue. Next, we take the number 31,111,607 and divide it by 2:

31,111,607 ÷ 2 = 15,555,803.5

If the quotient is a whole number, then 2 and 15,555,803.5 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 31,111,607
-1 -31,111,607

Now, we try dividing 31,111,607 by 3:

31,111,607 ÷ 3 = 10,370,535.6667

If the quotient is a whole number, then 3 and 10,370,535.6667 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 31,111,607
-1 -31,111,607

Let's try dividing by 4:

31,111,607 ÷ 4 = 7,777,901.75

If the quotient is a whole number, then 4 and 7,777,901.75 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 31,111,607
-1 31,111,607
Keep dividing by the next highest number until you cannot divide anymore.

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

1195093,2179,67161,1231,637,45331,111,607
-1-19-509-3,217-9,671-61,123-1,637,453-31,111,607

More Examples

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