Q: What are the factor combinations of the number 337,530,023?

 A:
Positive:   1 x 33753002353 x 6368491347 x 97270918353 x 18391
Negative: -1 x -337530023-53 x -6368491-347 x -972709-18353 x -18391


How do I find the factor combinations of the number 337,530,023?

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 337,530,023, 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.

1 337,530,023
-1 -337,530,023

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 337,530,023.

Example:
1 x 337,530,023 = 337,530,023
and
-1 x -337,530,023 = 337,530,023
Notice both answers equal 337,530,023

With that explanation out of the way, let's continue. Next, we take the number 337,530,023 and divide it by 2:

337,530,023 ÷ 2 = 168,765,011.5

If the quotient is a whole number, then 2 and 168,765,011.5 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:

1 337,530,023
-1 -337,530,023

Now, we try dividing 337,530,023 by 3:

337,530,023 ÷ 3 = 112,510,007.6667

If the quotient is a whole number, then 3 and 112,510,007.6667 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:

1 337,530,023
-1 -337,530,023

Let's try dividing by 4:

337,530,023 ÷ 4 = 84,382,505.75

If the quotient is a whole number, then 4 and 84,382,505.75 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:

1 337,530,023
-1 337,530,023
Keep dividing by the next highest number until you cannot divide anymore.

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

15334718,35318,391972,7096,368,491337,530,023
-1-53-347-18,353-18,391-972,709-6,368,491-337,530,023

More Examples

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