Q: What are the factor combinations of the number 833,073,623?

 A:
Positive:   1 x 83307362321247 x 39209
Negative: -1 x -833073623-21247 x -39209


How do I find the factor combinations of the number 833,073,623?

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 833,073,623, 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.

1 833,073,623
-1 -833,073,623

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 833,073,623.

Example:
1 x 833,073,623 = 833,073,623
and
-1 x -833,073,623 = 833,073,623
Notice both answers equal 833,073,623

With that explanation out of the way, let's continue. Next, we take the number 833,073,623 and divide it by 2:

833,073,623 ÷ 2 = 416,536,811.5

If the quotient is a whole number, then 2 and 416,536,811.5 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:

1 833,073,623
-1 -833,073,623

Now, we try dividing 833,073,623 by 3:

833,073,623 ÷ 3 = 277,691,207.6667

If the quotient is a whole number, then 3 and 277,691,207.6667 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:

1 833,073,623
-1 -833,073,623

Let's try dividing by 4:

833,073,623 ÷ 4 = 208,268,405.75

If the quotient is a whole number, then 4 and 208,268,405.75 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:

1 833,073,623
-1 833,073,623
Keep dividing by the next highest number until you cannot divide anymore.

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

121,24739,209833,073,623
-1-21,247-39,209-833,073,623

More Examples

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