Q: What are the factor combinations of the number 331,558,375?

 A:
Positive:   1 x 3315583755 x 6631167525 x 1326233589 x 3725375125 x 2652467445 x 7450752225 x 14901511125 x 29803
Negative: -1 x -331558375-5 x -66311675-25 x -13262335-89 x -3725375-125 x -2652467-445 x -745075-2225 x -149015-11125 x -29803


How do I find the factor combinations of the number 331,558,375?

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 331,558,375, 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.

1 331,558,375
-1 -331,558,375

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 331,558,375.

Example:
1 x 331,558,375 = 331,558,375
and
-1 x -331,558,375 = 331,558,375
Notice both answers equal 331,558,375

With that explanation out of the way, let's continue. Next, we take the number 331,558,375 and divide it by 2:

331,558,375 ÷ 2 = 165,779,187.5

If the quotient is a whole number, then 2 and 165,779,187.5 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:

1 331,558,375
-1 -331,558,375

Now, we try dividing 331,558,375 by 3:

331,558,375 ÷ 3 = 110,519,458.3333

If the quotient is a whole number, then 3 and 110,519,458.3333 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:

1 331,558,375
-1 -331,558,375

Let's try dividing by 4:

331,558,375 ÷ 4 = 82,889,593.75

If the quotient is a whole number, then 4 and 82,889,593.75 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:

1 331,558,375
-1 331,558,375
Keep dividing by the next highest number until you cannot divide anymore.

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

1525891254452,22511,12529,803149,015745,0752,652,4673,725,37513,262,33566,311,675331,558,375
-1-5-25-89-125-445-2,225-11,125-29,803-149,015-745,075-2,652,467-3,725,375-13,262,335-66,311,675-331,558,375

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