Q: What are the factor combinations of the number 31,336,591?

 A:
Positive:   1 x 3133659111 x 284878113 x 2410507143 x 219137419 x 74789523 x 599174609 x 67995447 x 5753
Negative: -1 x -31336591-11 x -2848781-13 x -2410507-143 x -219137-419 x -74789-523 x -59917-4609 x -6799-5447 x -5753


How do I find the factor combinations of the number 31,336,591?

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 31,336,591, 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 31,336,591
-1 -31,336,591

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 31,336,591.

Example:
1 x 31,336,591 = 31,336,591
and
-1 x -31,336,591 = 31,336,591
Notice both answers equal 31,336,591

With that explanation out of the way, let's continue. Next, we take the number 31,336,591 and divide it by 2:

31,336,591 ÷ 2 = 15,668,295.5

If the quotient is a whole number, then 2 and 15,668,295.5 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 31,336,591
-1 -31,336,591

Now, we try dividing 31,336,591 by 3:

31,336,591 ÷ 3 = 10,445,530.3333

If the quotient is a whole number, then 3 and 10,445,530.3333 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 31,336,591
-1 -31,336,591

Let's try dividing by 4:

31,336,591 ÷ 4 = 7,834,147.75

If the quotient is a whole number, then 4 and 7,834,147.75 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 31,336,591
-1 31,336,591
Keep dividing by the next highest number until you cannot divide anymore.

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

111131434195234,6095,4475,7536,79959,91774,789219,1372,410,5072,848,78131,336,591
-1-11-13-143-419-523-4,609-5,447-5,753-6,799-59,917-74,789-219,137-2,410,507-2,848,781-31,336,591

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 31,336,591:


Ask a Question