Q: What are the factor combinations of the number 31,008,775?

 A:
Positive:   1 x 310087755 x 62017557 x 442982525 x 124035135 x 88596537 x 838075175 x 177193185 x 167615259 x 119725925 x 335231295 x 239454789 x 6475
Negative: -1 x -31008775-5 x -6201755-7 x -4429825-25 x -1240351-35 x -885965-37 x -838075-175 x -177193-185 x -167615-259 x -119725-925 x -33523-1295 x -23945-4789 x -6475


How do I find the factor combinations of the number 31,008,775?

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 31,008,775, 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 31,008,775
-1 -31,008,775

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 31,008,775.

Example:
1 x 31,008,775 = 31,008,775
and
-1 x -31,008,775 = 31,008,775
Notice both answers equal 31,008,775

With that explanation out of the way, let's continue. Next, we take the number 31,008,775 and divide it by 2:

31,008,775 ÷ 2 = 15,504,387.5

If the quotient is a whole number, then 2 and 15,504,387.5 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 31,008,775
-1 -31,008,775

Now, we try dividing 31,008,775 by 3:

31,008,775 ÷ 3 = 10,336,258.3333

If the quotient is a whole number, then 3 and 10,336,258.3333 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 31,008,775
-1 -31,008,775

Let's try dividing by 4:

31,008,775 ÷ 4 = 7,752,193.75

If the quotient is a whole number, then 4 and 7,752,193.75 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 31,008,775
-1 31,008,775
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535371751852599251,2954,7896,47523,94533,523119,725167,615177,193838,075885,9651,240,3514,429,8256,201,75531,008,775
-1-5-7-25-35-37-175-185-259-925-1,295-4,789-6,475-23,945-33,523-119,725-167,615-177,193-838,075-885,965-1,240,351-4,429,825-6,201,755-31,008,775

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 31,008,775:


Ask a Question