Q: What are the factor combinations of the number 640,433?

 A:
Positive:   1 x 64043319 x 3370737 x 17309703 x 911
Negative: -1 x -640433-19 x -33707-37 x -17309-703 x -911


How do I find the factor combinations of the number 640,433?

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 640,433, 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.

1 640,433
-1 -640,433

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 640,433.

Example:
1 x 640,433 = 640,433
and
-1 x -640,433 = 640,433
Notice both answers equal 640,433

With that explanation out of the way, let's continue. Next, we take the number 640,433 and divide it by 2:

640,433 ÷ 2 = 320,216.5

If the quotient is a whole number, then 2 and 320,216.5 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:

1 640,433
-1 -640,433

Now, we try dividing 640,433 by 3:

640,433 ÷ 3 = 213,477.6667

If the quotient is a whole number, then 3 and 213,477.6667 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:

1 640,433
-1 -640,433

Let's try dividing by 4:

640,433 ÷ 4 = 160,108.25

If the quotient is a whole number, then 4 and 160,108.25 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:

1 640,433
-1 640,433
Keep dividing by the next highest number until you cannot divide anymore.

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

1193770391117,30933,707640,433
-1-19-37-703-911-17,309-33,707-640,433

More Examples

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