Q: What are the factor combinations of the number 31,235,111?

 A:
Positive:   1 x 3123511161 x 512051479 x 652091069 x 29219
Negative: -1 x -31235111-61 x -512051-479 x -65209-1069 x -29219


How do I find the factor combinations of the number 31,235,111?

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 31,235,111, 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 31,235,111
-1 -31,235,111

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 31,235,111.

Example:
1 x 31,235,111 = 31,235,111
and
-1 x -31,235,111 = 31,235,111
Notice both answers equal 31,235,111

With that explanation out of the way, let's continue. Next, we take the number 31,235,111 and divide it by 2:

31,235,111 ÷ 2 = 15,617,555.5

If the quotient is a whole number, then 2 and 15,617,555.5 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 31,235,111
-1 -31,235,111

Now, we try dividing 31,235,111 by 3:

31,235,111 ÷ 3 = 10,411,703.6667

If the quotient is a whole number, then 3 and 10,411,703.6667 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 31,235,111
-1 -31,235,111

Let's try dividing by 4:

31,235,111 ÷ 4 = 7,808,777.75

If the quotient is a whole number, then 4 and 7,808,777.75 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 31,235,111
-1 31,235,111
Keep dividing by the next highest number until you cannot divide anymore.

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

1614791,06929,21965,209512,05131,235,111
-1-61-479-1,069-29,219-65,209-512,051-31,235,111

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 31,235,111:


Ask a Question