Q: What are the factor combinations of the number 331,410,245?

 A:
Positive:   1 x 3314102455 x 6628204943 x 7707215215 x 1541443263 x 12601151315 x 2520235861 x 5654511309 x 29305
Negative: -1 x -331410245-5 x -66282049-43 x -7707215-215 x -1541443-263 x -1260115-1315 x -252023-5861 x -56545-11309 x -29305


How do I find the factor combinations of the number 331,410,245?

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 331,410,245, 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.

1 331,410,245
-1 -331,410,245

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 331,410,245.

Example:
1 x 331,410,245 = 331,410,245
and
-1 x -331,410,245 = 331,410,245
Notice both answers equal 331,410,245

With that explanation out of the way, let's continue. Next, we take the number 331,410,245 and divide it by 2:

331,410,245 ÷ 2 = 165,705,122.5

If the quotient is a whole number, then 2 and 165,705,122.5 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:

1 331,410,245
-1 -331,410,245

Now, we try dividing 331,410,245 by 3:

331,410,245 ÷ 3 = 110,470,081.6667

If the quotient is a whole number, then 3 and 110,470,081.6667 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:

1 331,410,245
-1 -331,410,245

Let's try dividing by 4:

331,410,245 ÷ 4 = 82,852,561.25

If the quotient is a whole number, then 4 and 82,852,561.25 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:

1 331,410,245
-1 331,410,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15432152631,3155,86111,30929,30556,545252,0231,260,1151,541,4437,707,21566,282,049331,410,245
-1-5-43-215-263-1,315-5,861-11,309-29,305-56,545-252,023-1,260,115-1,541,443-7,707,215-66,282,049-331,410,245

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