Q: What are the factor combinations of the number 31,744,307?

 A:
Positive:   1 x 317443077 x 453490119 x 167075349 x 647843133 x 238679343 x 92549931 x 340974871 x 6517
Negative: -1 x -31744307-7 x -4534901-19 x -1670753-49 x -647843-133 x -238679-343 x -92549-931 x -34097-4871 x -6517


How do I find the factor combinations of the number 31,744,307?

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 31,744,307, 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 31,744,307
-1 -31,744,307

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 31,744,307.

Example:
1 x 31,744,307 = 31,744,307
and
-1 x -31,744,307 = 31,744,307
Notice both answers equal 31,744,307

With that explanation out of the way, let's continue. Next, we take the number 31,744,307 and divide it by 2:

31,744,307 ÷ 2 = 15,872,153.5

If the quotient is a whole number, then 2 and 15,872,153.5 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 31,744,307
-1 -31,744,307

Now, we try dividing 31,744,307 by 3:

31,744,307 ÷ 3 = 10,581,435.6667

If the quotient is a whole number, then 3 and 10,581,435.6667 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 31,744,307
-1 -31,744,307

Let's try dividing by 4:

31,744,307 ÷ 4 = 7,936,076.75

If the quotient is a whole number, then 4 and 7,936,076.75 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 31,744,307
-1 31,744,307
Keep dividing by the next highest number until you cannot divide anymore.

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

1719491333439314,8716,51734,09792,549238,679647,8431,670,7534,534,90131,744,307
-1-7-19-49-133-343-931-4,871-6,517-34,097-92,549-238,679-647,843-1,670,753-4,534,901-31,744,307

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 31,744,307:


Ask a Question