Q: What are the factor combinations of the number 109,463,945?

 A:
Positive:   1 x 1094639455 x 2189278931 x 353109537 x 2958485155 x 706219185 x 5916971147 x 954355735 x 19087
Negative: -1 x -109463945-5 x -21892789-31 x -3531095-37 x -2958485-155 x -706219-185 x -591697-1147 x -95435-5735 x -19087


How do I find the factor combinations of the number 109,463,945?

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 109,463,945, 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.

1 109,463,945
-1 -109,463,945

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 109,463,945.

Example:
1 x 109,463,945 = 109,463,945
and
-1 x -109,463,945 = 109,463,945
Notice both answers equal 109,463,945

With that explanation out of the way, let's continue. Next, we take the number 109,463,945 and divide it by 2:

109,463,945 ÷ 2 = 54,731,972.5

If the quotient is a whole number, then 2 and 54,731,972.5 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:

1 109,463,945
-1 -109,463,945

Now, we try dividing 109,463,945 by 3:

109,463,945 ÷ 3 = 36,487,981.6667

If the quotient is a whole number, then 3 and 36,487,981.6667 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:

1 109,463,945
-1 -109,463,945

Let's try dividing by 4:

109,463,945 ÷ 4 = 27,365,986.25

If the quotient is a whole number, then 4 and 27,365,986.25 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:

1 109,463,945
-1 109,463,945
Keep dividing by the next highest number until you cannot divide anymore.

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

1531371551851,1475,73519,08795,435591,697706,2192,958,4853,531,09521,892,789109,463,945
-1-5-31-37-155-185-1,147-5,735-19,087-95,435-591,697-706,219-2,958,485-3,531,095-21,892,789-109,463,945

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