Q: What are the factor combinations of the number 104,405,525?

 A:
Positive:   1 x 1044055255 x 208811057 x 1491507525 x 417622135 x 298301549 x 2130725175 x 596603245 x 4261451225 x 85229
Negative: -1 x -104405525-5 x -20881105-7 x -14915075-25 x -4176221-35 x -2983015-49 x -2130725-175 x -596603-245 x -426145-1225 x -85229


How do I find the factor combinations of the number 104,405,525?

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 104,405,525, 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.

1 104,405,525
-1 -104,405,525

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 104,405,525.

Example:
1 x 104,405,525 = 104,405,525
and
-1 x -104,405,525 = 104,405,525
Notice both answers equal 104,405,525

With that explanation out of the way, let's continue. Next, we take the number 104,405,525 and divide it by 2:

104,405,525 ÷ 2 = 52,202,762.5

If the quotient is a whole number, then 2 and 52,202,762.5 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:

1 104,405,525
-1 -104,405,525

Now, we try dividing 104,405,525 by 3:

104,405,525 ÷ 3 = 34,801,841.6667

If the quotient is a whole number, then 3 and 34,801,841.6667 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:

1 104,405,525
-1 -104,405,525

Let's try dividing by 4:

104,405,525 ÷ 4 = 26,101,381.25

If the quotient is a whole number, then 4 and 26,101,381.25 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:

1 104,405,525
-1 104,405,525
Keep dividing by the next highest number until you cannot divide anymore.

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

1572535491752451,22585,229426,145596,6032,130,7252,983,0154,176,22114,915,07520,881,105104,405,525
-1-5-7-25-35-49-175-245-1,225-85,229-426,145-596,603-2,130,725-2,983,015-4,176,221-14,915,075-20,881,105-104,405,525

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