Q: What are the factor combinations of the number 100,604,585?

 A:
Positive:   1 x 1006045855 x 2012091773 x 1378145101 x 996085365 x 275629505 x 1992172729 x 368657373 x 13645
Negative: -1 x -100604585-5 x -20120917-73 x -1378145-101 x -996085-365 x -275629-505 x -199217-2729 x -36865-7373 x -13645


How do I find the factor combinations of the number 100,604,585?

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 100,604,585, 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.

1 100,604,585
-1 -100,604,585

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 100,604,585.

Example:
1 x 100,604,585 = 100,604,585
and
-1 x -100,604,585 = 100,604,585
Notice both answers equal 100,604,585

With that explanation out of the way, let's continue. Next, we take the number 100,604,585 and divide it by 2:

100,604,585 ÷ 2 = 50,302,292.5

If the quotient is a whole number, then 2 and 50,302,292.5 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:

1 100,604,585
-1 -100,604,585

Now, we try dividing 100,604,585 by 3:

100,604,585 ÷ 3 = 33,534,861.6667

If the quotient is a whole number, then 3 and 33,534,861.6667 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:

1 100,604,585
-1 -100,604,585

Let's try dividing by 4:

100,604,585 ÷ 4 = 25,151,146.25

If the quotient is a whole number, then 4 and 25,151,146.25 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:

1 100,604,585
-1 100,604,585
Keep dividing by the next highest number until you cannot divide anymore.

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

15731013655052,7297,37313,64536,865199,217275,629996,0851,378,14520,120,917100,604,585
-1-5-73-101-365-505-2,729-7,373-13,645-36,865-199,217-275,629-996,085-1,378,145-20,120,917-100,604,585

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