Q: What are the factor combinations of the number 10,826,725?

 A:
Positive:   1 x 108267255 x 21653457 x 154667513 x 83282525 x 43306935 x 30933565 x 16656591 x 118975175 x 61867325 x 33313455 x 237952275 x 4759
Negative: -1 x -10826725-5 x -2165345-7 x -1546675-13 x -832825-25 x -433069-35 x -309335-65 x -166565-91 x -118975-175 x -61867-325 x -33313-455 x -23795-2275 x -4759


How do I find the factor combinations of the number 10,826,725?

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 10,826,725, 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 10,826,725
-1 -10,826,725

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 10,826,725.

Example:
1 x 10,826,725 = 10,826,725
and
-1 x -10,826,725 = 10,826,725
Notice both answers equal 10,826,725

With that explanation out of the way, let's continue. Next, we take the number 10,826,725 and divide it by 2:

10,826,725 ÷ 2 = 5,413,362.5

If the quotient is a whole number, then 2 and 5,413,362.5 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 10,826,725
-1 -10,826,725

Now, we try dividing 10,826,725 by 3:

10,826,725 ÷ 3 = 3,608,908.3333

If the quotient is a whole number, then 3 and 3,608,908.3333 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 10,826,725
-1 -10,826,725

Let's try dividing by 4:

10,826,725 ÷ 4 = 2,706,681.25

If the quotient is a whole number, then 4 and 2,706,681.25 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 10,826,725
-1 10,826,725
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,2754,75923,79533,31361,867118,975166,565309,335433,069832,8251,546,6752,165,34510,826,725
-1-5-7-13-25-35-65-91-175-325-455-2,275-4,759-23,795-33,313-61,867-118,975-166,565-309,335-433,069-832,825-1,546,675-2,165,345-10,826,725

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