Q: What are the factor combinations of the number 3,604,433?

 A:
Positive:   1 x 36044337 x 51491919 x 18970741 x 87913133 x 27101287 x 12559661 x 5453779 x 4627
Negative: -1 x -3604433-7 x -514919-19 x -189707-41 x -87913-133 x -27101-287 x -12559-661 x -5453-779 x -4627


How do I find the factor combinations of the number 3,604,433?

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 3,604,433, 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 3,604,433
-1 -3,604,433

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 3,604,433.

Example:
1 x 3,604,433 = 3,604,433
and
-1 x -3,604,433 = 3,604,433
Notice both answers equal 3,604,433

With that explanation out of the way, let's continue. Next, we take the number 3,604,433 and divide it by 2:

3,604,433 ÷ 2 = 1,802,216.5

If the quotient is a whole number, then 2 and 1,802,216.5 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 3,604,433
-1 -3,604,433

Now, we try dividing 3,604,433 by 3:

3,604,433 ÷ 3 = 1,201,477.6667

If the quotient is a whole number, then 3 and 1,201,477.6667 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 3,604,433
-1 -3,604,433

Let's try dividing by 4:

3,604,433 ÷ 4 = 901,108.25

If the quotient is a whole number, then 4 and 901,108.25 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 3,604,433
-1 3,604,433
Keep dividing by the next highest number until you cannot divide anymore.

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

1719411332876617794,6275,45312,55927,10187,913189,707514,9193,604,433
-1-7-19-41-133-287-661-779-4,627-5,453-12,559-27,101-87,913-189,707-514,919-3,604,433

More Examples

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