Q: What are the factor combinations of the number 204,604,009?

 A:
Positive:   1 x 20460400953 x 3860453107 x 1912187109 x 1877101331 x 6181395671 x 360795777 x 3541711663 x 17543
Negative: -1 x -204604009-53 x -3860453-107 x -1912187-109 x -1877101-331 x -618139-5671 x -36079-5777 x -35417-11663 x -17543


How do I find the factor combinations of the number 204,604,009?

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 204,604,009, 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.

1 204,604,009
-1 -204,604,009

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 204,604,009.

Example:
1 x 204,604,009 = 204,604,009
and
-1 x -204,604,009 = 204,604,009
Notice both answers equal 204,604,009

With that explanation out of the way, let's continue. Next, we take the number 204,604,009 and divide it by 2:

204,604,009 ÷ 2 = 102,302,004.5

If the quotient is a whole number, then 2 and 102,302,004.5 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:

1 204,604,009
-1 -204,604,009

Now, we try dividing 204,604,009 by 3:

204,604,009 ÷ 3 = 68,201,336.3333

If the quotient is a whole number, then 3 and 68,201,336.3333 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:

1 204,604,009
-1 -204,604,009

Let's try dividing by 4:

204,604,009 ÷ 4 = 51,151,002.25

If the quotient is a whole number, then 4 and 51,151,002.25 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:

1 204,604,009
-1 204,604,009
Keep dividing by the next highest number until you cannot divide anymore.

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

1531071093315,6715,77711,66317,54335,41736,079618,1391,877,1011,912,1873,860,453204,604,009
-1-53-107-109-331-5,671-5,777-11,663-17,543-35,417-36,079-618,139-1,877,101-1,912,187-3,860,453-204,604,009

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