Q: What are the factor combinations of the number 104,525,005?

 A:
Positive:   1 x 1045250055 x 2090500113 x 804038565 x 1608077109 x 958945545 x 1917891417 x 737657085 x 14753
Negative: -1 x -104525005-5 x -20905001-13 x -8040385-65 x -1608077-109 x -958945-545 x -191789-1417 x -73765-7085 x -14753


How do I find the factor combinations of the number 104,525,005?

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 104,525,005, 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.

1 104,525,005
-1 -104,525,005

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 104,525,005.

Example:
1 x 104,525,005 = 104,525,005
and
-1 x -104,525,005 = 104,525,005
Notice both answers equal 104,525,005

With that explanation out of the way, let's continue. Next, we take the number 104,525,005 and divide it by 2:

104,525,005 ÷ 2 = 52,262,502.5

If the quotient is a whole number, then 2 and 52,262,502.5 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:

1 104,525,005
-1 -104,525,005

Now, we try dividing 104,525,005 by 3:

104,525,005 ÷ 3 = 34,841,668.3333

If the quotient is a whole number, then 3 and 34,841,668.3333 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:

1 104,525,005
-1 -104,525,005

Let's try dividing by 4:

104,525,005 ÷ 4 = 26,131,251.25

If the quotient is a whole number, then 4 and 26,131,251.25 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:

1 104,525,005
-1 104,525,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1513651095451,4177,08514,75373,765191,789958,9451,608,0778,040,38520,905,001104,525,005
-1-5-13-65-109-545-1,417-7,085-14,753-73,765-191,789-958,945-1,608,077-8,040,385-20,905,001-104,525,005

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