Q: What are the factor combinations of the number 1,225,525?

 A:
Positive:   1 x 12255255 x 2451057 x 17507525 x 4902135 x 3501547 x 26075149 x 8225175 x 7003235 x 5215329 x 3725745 x 16451043 x 1175
Negative: -1 x -1225525-5 x -245105-7 x -175075-25 x -49021-35 x -35015-47 x -26075-149 x -8225-175 x -7003-235 x -5215-329 x -3725-745 x -1645-1043 x -1175


How do I find the factor combinations of the number 1,225,525?

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 1,225,525, 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 1,225,525
-1 -1,225,525

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 1,225,525.

Example:
1 x 1,225,525 = 1,225,525
and
-1 x -1,225,525 = 1,225,525
Notice both answers equal 1,225,525

With that explanation out of the way, let's continue. Next, we take the number 1,225,525 and divide it by 2:

1,225,525 ÷ 2 = 612,762.5

If the quotient is a whole number, then 2 and 612,762.5 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 1,225,525
-1 -1,225,525

Now, we try dividing 1,225,525 by 3:

1,225,525 ÷ 3 = 408,508.3333

If the quotient is a whole number, then 3 and 408,508.3333 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 1,225,525
-1 -1,225,525

Let's try dividing by 4:

1,225,525 ÷ 4 = 306,381.25

If the quotient is a whole number, then 4 and 306,381.25 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 1,225,525
-1 1,225,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535471491752353297451,0431,1751,6453,7255,2157,0038,22526,07535,01549,021175,075245,1051,225,525
-1-5-7-25-35-47-149-175-235-329-745-1,043-1,175-1,645-3,725-5,215-7,003-8,225-26,075-35,015-49,021-175,075-245,105-1,225,525

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