Q: What are the factor combinations of the number 28,825,825?

 A:
Positive:   1 x 288258255 x 57651657 x 411797525 x 115303335 x 823595127 x 226975175 x 164719635 x 45395889 x 324251297 x 222253175 x 90794445 x 6485
Negative: -1 x -28825825-5 x -5765165-7 x -4117975-25 x -1153033-35 x -823595-127 x -226975-175 x -164719-635 x -45395-889 x -32425-1297 x -22225-3175 x -9079-4445 x -6485


How do I find the factor combinations of the number 28,825,825?

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 28,825,825, 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 28,825,825
-1 -28,825,825

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 28,825,825.

Example:
1 x 28,825,825 = 28,825,825
and
-1 x -28,825,825 = 28,825,825
Notice both answers equal 28,825,825

With that explanation out of the way, let's continue. Next, we take the number 28,825,825 and divide it by 2:

28,825,825 ÷ 2 = 14,412,912.5

If the quotient is a whole number, then 2 and 14,412,912.5 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 28,825,825
-1 -28,825,825

Now, we try dividing 28,825,825 by 3:

28,825,825 ÷ 3 = 9,608,608.3333

If the quotient is a whole number, then 3 and 9,608,608.3333 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 28,825,825
-1 -28,825,825

Let's try dividing by 4:

28,825,825 ÷ 4 = 7,206,456.25

If the quotient is a whole number, then 4 and 7,206,456.25 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 28,825,825
-1 28,825,825
Keep dividing by the next highest number until you cannot divide anymore.

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

15725351271756358891,2973,1754,4456,4859,07922,22532,42545,395164,719226,975823,5951,153,0334,117,9755,765,16528,825,825
-1-5-7-25-35-127-175-635-889-1,297-3,175-4,445-6,485-9,079-22,225-32,425-45,395-164,719-226,975-823,595-1,153,033-4,117,975-5,765,165-28,825,825

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