Q: What are the factor combinations of the number 331,020,305?

 A:
Positive:   1 x 3310203055 x 662040617 x 4728861511 x 3009275535 x 945772355 x 601855177 x 4298965121 x 2735705385 x 859793605 x 547141847 x 3908154235 x 78163
Negative: -1 x -331020305-5 x -66204061-7 x -47288615-11 x -30092755-35 x -9457723-55 x -6018551-77 x -4298965-121 x -2735705-385 x -859793-605 x -547141-847 x -390815-4235 x -78163


How do I find the factor combinations of the number 331,020,305?

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 331,020,305, 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.

1 331,020,305
-1 -331,020,305

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 331,020,305.

Example:
1 x 331,020,305 = 331,020,305
and
-1 x -331,020,305 = 331,020,305
Notice both answers equal 331,020,305

With that explanation out of the way, let's continue. Next, we take the number 331,020,305 and divide it by 2:

331,020,305 ÷ 2 = 165,510,152.5

If the quotient is a whole number, then 2 and 165,510,152.5 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:

1 331,020,305
-1 -331,020,305

Now, we try dividing 331,020,305 by 3:

331,020,305 ÷ 3 = 110,340,101.6667

If the quotient is a whole number, then 3 and 110,340,101.6667 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:

1 331,020,305
-1 -331,020,305

Let's try dividing by 4:

331,020,305 ÷ 4 = 82,755,076.25

If the quotient is a whole number, then 4 and 82,755,076.25 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:

1 331,020,305
-1 331,020,305
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555771213856058474,23578,163390,815547,141859,7932,735,7054,298,9656,018,5519,457,72330,092,75547,288,61566,204,061331,020,305
-1-5-7-11-35-55-77-121-385-605-847-4,235-78,163-390,815-547,141-859,793-2,735,705-4,298,965-6,018,551-9,457,723-30,092,755-47,288,615-66,204,061-331,020,305

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