Q: What are the factor combinations of the number 204,501,245?

 A:
Positive:   1 x 2045012455 x 4090024913 x 1573086517 x 1202948565 x 314617385 x 2405897221 x 9253451105 x 185069
Negative: -1 x -204501245-5 x -40900249-13 x -15730865-17 x -12029485-65 x -3146173-85 x -2405897-221 x -925345-1105 x -185069


How do I find the factor combinations of the number 204,501,245?

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 204,501,245, 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.

1 204,501,245
-1 -204,501,245

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 204,501,245.

Example:
1 x 204,501,245 = 204,501,245
and
-1 x -204,501,245 = 204,501,245
Notice both answers equal 204,501,245

With that explanation out of the way, let's continue. Next, we take the number 204,501,245 and divide it by 2:

204,501,245 ÷ 2 = 102,250,622.5

If the quotient is a whole number, then 2 and 102,250,622.5 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:

1 204,501,245
-1 -204,501,245

Now, we try dividing 204,501,245 by 3:

204,501,245 ÷ 3 = 68,167,081.6667

If the quotient is a whole number, then 3 and 68,167,081.6667 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:

1 204,501,245
-1 -204,501,245

Let's try dividing by 4:

204,501,245 ÷ 4 = 51,125,311.25

If the quotient is a whole number, then 4 and 51,125,311.25 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:

1 204,501,245
-1 204,501,245
Keep dividing by the next highest number until you cannot divide anymore.

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

15131765852211,105185,069925,3452,405,8973,146,17312,029,48515,730,86540,900,249204,501,245
-1-5-13-17-65-85-221-1,105-185,069-925,345-2,405,897-3,146,173-12,029,485-15,730,865-40,900,249-204,501,245

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