Q: What are the factor combinations of the number 104,000,525?

 A:
Positive:   1 x 1040005255 x 2080010525 x 416002129 x 358622537 x 2810825145 x 717245185 x 562165725 x 143449925 x 1124331073 x 969253877 x 268255365 x 19385
Negative: -1 x -104000525-5 x -20800105-25 x -4160021-29 x -3586225-37 x -2810825-145 x -717245-185 x -562165-725 x -143449-925 x -112433-1073 x -96925-3877 x -26825-5365 x -19385


How do I find the factor combinations of the number 104,000,525?

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 104,000,525, 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.

1 104,000,525
-1 -104,000,525

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 104,000,525.

Example:
1 x 104,000,525 = 104,000,525
and
-1 x -104,000,525 = 104,000,525
Notice both answers equal 104,000,525

With that explanation out of the way, let's continue. Next, we take the number 104,000,525 and divide it by 2:

104,000,525 ÷ 2 = 52,000,262.5

If the quotient is a whole number, then 2 and 52,000,262.5 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:

1 104,000,525
-1 -104,000,525

Now, we try dividing 104,000,525 by 3:

104,000,525 ÷ 3 = 34,666,841.6667

If the quotient is a whole number, then 3 and 34,666,841.6667 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:

1 104,000,525
-1 -104,000,525

Let's try dividing by 4:

104,000,525 ÷ 4 = 26,000,131.25

If the quotient is a whole number, then 4 and 26,000,131.25 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:

1 104,000,525
-1 104,000,525
Keep dividing by the next highest number until you cannot divide anymore.

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

152529371451857259251,0733,8775,36519,38526,82596,925112,433143,449562,165717,2452,810,8253,586,2254,160,02120,800,105104,000,525
-1-5-25-29-37-145-185-725-925-1,073-3,877-5,365-19,385-26,825-96,925-112,433-143,449-562,165-717,245-2,810,825-3,586,225-4,160,021-20,800,105-104,000,525

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