Q: What are the factor combinations of the number 12,355,525?

 A:
Positive:   1 x 123555255 x 24711057 x 176507513 x 95042525 x 49422135 x 35301565 x 19008591 x 135775175 x 70603325 x 38017455 x 271552275 x 5431
Negative: -1 x -12355525-5 x -2471105-7 x -1765075-13 x -950425-25 x -494221-35 x -353015-65 x -190085-91 x -135775-175 x -70603-325 x -38017-455 x -27155-2275 x -5431


How do I find the factor combinations of the number 12,355,525?

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 12,355,525, 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 12,355,525
-1 -12,355,525

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 12,355,525.

Example:
1 x 12,355,525 = 12,355,525
and
-1 x -12,355,525 = 12,355,525
Notice both answers equal 12,355,525

With that explanation out of the way, let's continue. Next, we take the number 12,355,525 and divide it by 2:

12,355,525 ÷ 2 = 6,177,762.5

If the quotient is a whole number, then 2 and 6,177,762.5 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 12,355,525
-1 -12,355,525

Now, we try dividing 12,355,525 by 3:

12,355,525 ÷ 3 = 4,118,508.3333

If the quotient is a whole number, then 3 and 4,118,508.3333 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 12,355,525
-1 -12,355,525

Let's try dividing by 4:

12,355,525 ÷ 4 = 3,088,881.25

If the quotient is a whole number, then 4 and 3,088,881.25 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 12,355,525
-1 12,355,525
Keep dividing by the next highest number until you cannot divide anymore.

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

15713253565911753254552,2755,43127,15538,01770,603135,775190,085353,015494,221950,4251,765,0752,471,10512,355,525
-1-5-7-13-25-35-65-91-175-325-455-2,275-5,431-27,155-38,017-70,603-135,775-190,085-353,015-494,221-950,425-1,765,075-2,471,105-12,355,525

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