Q: What are the factor combinations of the number 330,210,037?

 A:
Positive:   1 x 33021003729 x 11386553647 x 51037117599 x 18763
Negative: -1 x -330210037-29 x -11386553-647 x -510371-17599 x -18763


How do I find the factor combinations of the number 330,210,037?

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 330,210,037, 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.

1 330,210,037
-1 -330,210,037

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 330,210,037.

Example:
1 x 330,210,037 = 330,210,037
and
-1 x -330,210,037 = 330,210,037
Notice both answers equal 330,210,037

With that explanation out of the way, let's continue. Next, we take the number 330,210,037 and divide it by 2:

330,210,037 ÷ 2 = 165,105,018.5

If the quotient is a whole number, then 2 and 165,105,018.5 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:

1 330,210,037
-1 -330,210,037

Now, we try dividing 330,210,037 by 3:

330,210,037 ÷ 3 = 110,070,012.3333

If the quotient is a whole number, then 3 and 110,070,012.3333 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:

1 330,210,037
-1 -330,210,037

Let's try dividing by 4:

330,210,037 ÷ 4 = 82,552,509.25

If the quotient is a whole number, then 4 and 82,552,509.25 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:

1 330,210,037
-1 330,210,037
Keep dividing by the next highest number until you cannot divide anymore.

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

12964717,59918,763510,37111,386,553330,210,037
-1-29-647-17,599-18,763-510,371-11,386,553-330,210,037

More Examples

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