Q: What are the factor combinations of the number 5,305,433?

 A:
Positive:   1 x 53054337 x 75791923 x 23067131 x 171143161 x 32953217 x 24449713 x 74411063 x 4991
Negative: -1 x -5305433-7 x -757919-23 x -230671-31 x -171143-161 x -32953-217 x -24449-713 x -7441-1063 x -4991


How do I find the factor combinations of the number 5,305,433?

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 5,305,433, 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 5,305,433
-1 -5,305,433

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 5,305,433.

Example:
1 x 5,305,433 = 5,305,433
and
-1 x -5,305,433 = 5,305,433
Notice both answers equal 5,305,433

With that explanation out of the way, let's continue. Next, we take the number 5,305,433 and divide it by 2:

5,305,433 ÷ 2 = 2,652,716.5

If the quotient is a whole number, then 2 and 2,652,716.5 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 5,305,433
-1 -5,305,433

Now, we try dividing 5,305,433 by 3:

5,305,433 ÷ 3 = 1,768,477.6667

If the quotient is a whole number, then 3 and 1,768,477.6667 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 5,305,433
-1 -5,305,433

Let's try dividing by 4:

5,305,433 ÷ 4 = 1,326,358.25

If the quotient is a whole number, then 4 and 1,326,358.25 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 5,305,433
-1 5,305,433
Keep dividing by the next highest number until you cannot divide anymore.

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

1723311612177131,0634,9917,44124,44932,953171,143230,671757,9195,305,433
-1-7-23-31-161-217-713-1,063-4,991-7,441-24,449-32,953-171,143-230,671-757,919-5,305,433

More Examples

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