Q: What are the factor combinations of the number 331,240,021?

 A:
Positive:   1 x 3312400217 x 4732000337 x 8952433259 x 1278919353 x 9383572471 x 1340513623 x 9142713061 x 25361
Negative: -1 x -331240021-7 x -47320003-37 x -8952433-259 x -1278919-353 x -938357-2471 x -134051-3623 x -91427-13061 x -25361


How do I find the factor combinations of the number 331,240,021?

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 331,240,021, 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.

1 331,240,021
-1 -331,240,021

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 331,240,021.

Example:
1 x 331,240,021 = 331,240,021
and
-1 x -331,240,021 = 331,240,021
Notice both answers equal 331,240,021

With that explanation out of the way, let's continue. Next, we take the number 331,240,021 and divide it by 2:

331,240,021 ÷ 2 = 165,620,010.5

If the quotient is a whole number, then 2 and 165,620,010.5 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:

1 331,240,021
-1 -331,240,021

Now, we try dividing 331,240,021 by 3:

331,240,021 ÷ 3 = 110,413,340.3333

If the quotient is a whole number, then 3 and 110,413,340.3333 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:

1 331,240,021
-1 -331,240,021

Let's try dividing by 4:

331,240,021 ÷ 4 = 82,810,005.25

If the quotient is a whole number, then 4 and 82,810,005.25 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:

1 331,240,021
-1 331,240,021
Keep dividing by the next highest number until you cannot divide anymore.

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

17372593532,4713,62313,06125,36191,427134,051938,3571,278,9198,952,43347,320,003331,240,021
-1-7-37-259-353-2,471-3,623-13,061-25,361-91,427-134,051-938,357-1,278,919-8,952,433-47,320,003-331,240,021

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