Q: What are the factor combinations of the number 1,203,923?

 A:
Positive:   1 x 12039237 x 17198917 x 7081967 x 17969119 x 10117151 x 7973469 x 25671057 x 1139
Negative: -1 x -1203923-7 x -171989-17 x -70819-67 x -17969-119 x -10117-151 x -7973-469 x -2567-1057 x -1139


How do I find the factor combinations of the number 1,203,923?

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 1,203,923, 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 1,203,923
-1 -1,203,923

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 1,203,923.

Example:
1 x 1,203,923 = 1,203,923
and
-1 x -1,203,923 = 1,203,923
Notice both answers equal 1,203,923

With that explanation out of the way, let's continue. Next, we take the number 1,203,923 and divide it by 2:

1,203,923 ÷ 2 = 601,961.5

If the quotient is a whole number, then 2 and 601,961.5 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 1,203,923
-1 -1,203,923

Now, we try dividing 1,203,923 by 3:

1,203,923 ÷ 3 = 401,307.6667

If the quotient is a whole number, then 3 and 401,307.6667 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 1,203,923
-1 -1,203,923

Let's try dividing by 4:

1,203,923 ÷ 4 = 300,980.75

If the quotient is a whole number, then 4 and 300,980.75 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 1,203,923
-1 1,203,923
Keep dividing by the next highest number until you cannot divide anymore.

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

1717671191514691,0571,1392,5677,97310,11717,96970,819171,9891,203,923
-1-7-17-67-119-151-469-1,057-1,139-2,567-7,973-10,117-17,969-70,819-171,989-1,203,923

More Examples

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