Q: What are the factor combinations of the number 331,312,325?

 A:
Positive:   1 x 3313123255 x 6626246525 x 1325249373 x 4538525365 x 907705379 x 874175479 x 6916751825 x 1815411895 x 1748352395 x 1383359475 x 3496711975 x 27667
Negative: -1 x -331312325-5 x -66262465-25 x -13252493-73 x -4538525-365 x -907705-379 x -874175-479 x -691675-1825 x -181541-1895 x -174835-2395 x -138335-9475 x -34967-11975 x -27667


How do I find the factor combinations of the number 331,312,325?

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 331,312,325, 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.

1 331,312,325
-1 -331,312,325

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 331,312,325.

Example:
1 x 331,312,325 = 331,312,325
and
-1 x -331,312,325 = 331,312,325
Notice both answers equal 331,312,325

With that explanation out of the way, let's continue. Next, we take the number 331,312,325 and divide it by 2:

331,312,325 ÷ 2 = 165,656,162.5

If the quotient is a whole number, then 2 and 165,656,162.5 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:

1 331,312,325
-1 -331,312,325

Now, we try dividing 331,312,325 by 3:

331,312,325 ÷ 3 = 110,437,441.6667

If the quotient is a whole number, then 3 and 110,437,441.6667 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:

1 331,312,325
-1 -331,312,325

Let's try dividing by 4:

331,312,325 ÷ 4 = 82,828,081.25

If the quotient is a whole number, then 4 and 82,828,081.25 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:

1 331,312,325
-1 331,312,325
Keep dividing by the next highest number until you cannot divide anymore.

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

1525733653794791,8251,8952,3959,47511,97527,66734,967138,335174,835181,541691,675874,175907,7054,538,52513,252,49366,262,465331,312,325
-1-5-25-73-365-379-479-1,825-1,895-2,395-9,475-11,975-27,667-34,967-138,335-174,835-181,541-691,675-874,175-907,705-4,538,525-13,252,493-66,262,465-331,312,325

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 331,312,325:


Ask a Question