Q: What are the factor combinations of the number 324,484,825?

 A:
Positive:   1 x 3244848255 x 648969657 x 4635497525 x 1297939335 x 9270995109 x 2976925175 x 1854199545 x 595385763 x 4252752725 x 1190773815 x 8505517011 x 19075
Negative: -1 x -324484825-5 x -64896965-7 x -46354975-25 x -12979393-35 x -9270995-109 x -2976925-175 x -1854199-545 x -595385-763 x -425275-2725 x -119077-3815 x -85055-17011 x -19075


How do I find the factor combinations of the number 324,484,825?

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 324,484,825, 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.

1 324,484,825
-1 -324,484,825

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 324,484,825.

Example:
1 x 324,484,825 = 324,484,825
and
-1 x -324,484,825 = 324,484,825
Notice both answers equal 324,484,825

With that explanation out of the way, let's continue. Next, we take the number 324,484,825 and divide it by 2:

324,484,825 ÷ 2 = 162,242,412.5

If the quotient is a whole number, then 2 and 162,242,412.5 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:

1 324,484,825
-1 -324,484,825

Now, we try dividing 324,484,825 by 3:

324,484,825 ÷ 3 = 108,161,608.3333

If the quotient is a whole number, then 3 and 108,161,608.3333 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:

1 324,484,825
-1 -324,484,825

Let's try dividing by 4:

324,484,825 ÷ 4 = 81,121,206.25

If the quotient is a whole number, then 4 and 81,121,206.25 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:

1 324,484,825
-1 324,484,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351091755457632,7253,81517,01119,07585,055119,077425,275595,3851,854,1992,976,9259,270,99512,979,39346,354,97564,896,965324,484,825
-1-5-7-25-35-109-175-545-763-2,725-3,815-17,011-19,075-85,055-119,077-425,275-595,385-1,854,199-2,976,925-9,270,995-12,979,393-46,354,975-64,896,965-324,484,825

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