Q: What are the factor combinations of the number 31,211,335?

 A:
Positive:   1 x 312113355 x 624226743 x 725845179 x 174365215 x 145169811 x 38485895 x 348734055 x 7697
Negative: -1 x -31211335-5 x -6242267-43 x -725845-179 x -174365-215 x -145169-811 x -38485-895 x -34873-4055 x -7697


How do I find the factor combinations of the number 31,211,335?

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 31,211,335, 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 31,211,335
-1 -31,211,335

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 31,211,335.

Example:
1 x 31,211,335 = 31,211,335
and
-1 x -31,211,335 = 31,211,335
Notice both answers equal 31,211,335

With that explanation out of the way, let's continue. Next, we take the number 31,211,335 and divide it by 2:

31,211,335 ÷ 2 = 15,605,667.5

If the quotient is a whole number, then 2 and 15,605,667.5 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 31,211,335
-1 -31,211,335

Now, we try dividing 31,211,335 by 3:

31,211,335 ÷ 3 = 10,403,778.3333

If the quotient is a whole number, then 3 and 10,403,778.3333 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 31,211,335
-1 -31,211,335

Let's try dividing by 4:

31,211,335 ÷ 4 = 7,802,833.75

If the quotient is a whole number, then 4 and 7,802,833.75 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 31,211,335
-1 31,211,335
Keep dividing by the next highest number until you cannot divide anymore.

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

15431792158118954,0557,69734,87338,485145,169174,365725,8456,242,26731,211,335
-1-5-43-179-215-811-895-4,055-7,697-34,873-38,485-145,169-174,365-725,845-6,242,267-31,211,335

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 31,211,335:


Ask a Question