Q: What are the factor combinations of the number 9,242,345?

 A:
Positive:   1 x 92423455 x 18484697 x 132033535 x 264067347 x 26635761 x 121451735 x 53272429 x 3805
Negative: -1 x -9242345-5 x -1848469-7 x -1320335-35 x -264067-347 x -26635-761 x -12145-1735 x -5327-2429 x -3805


How do I find the factor combinations of the number 9,242,345?

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 9,242,345, 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 9,242,345
-1 -9,242,345

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 9,242,345.

Example:
1 x 9,242,345 = 9,242,345
and
-1 x -9,242,345 = 9,242,345
Notice both answers equal 9,242,345

With that explanation out of the way, let's continue. Next, we take the number 9,242,345 and divide it by 2:

9,242,345 ÷ 2 = 4,621,172.5

If the quotient is a whole number, then 2 and 4,621,172.5 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 9,242,345
-1 -9,242,345

Now, we try dividing 9,242,345 by 3:

9,242,345 ÷ 3 = 3,080,781.6667

If the quotient is a whole number, then 3 and 3,080,781.6667 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 9,242,345
-1 -9,242,345

Let's try dividing by 4:

9,242,345 ÷ 4 = 2,310,586.25

If the quotient is a whole number, then 4 and 2,310,586.25 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 9,242,345
-1 9,242,345
Keep dividing by the next highest number until you cannot divide anymore.

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

157353477611,7352,4293,8055,32712,14526,635264,0671,320,3351,848,4699,242,345
-1-5-7-35-347-761-1,735-2,429-3,805-5,327-12,145-26,635-264,067-1,320,335-1,848,469-9,242,345

More Examples

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