Q: What are the factor combinations of the number 340,550,033?

 A:
Positive:   1 x 340550033103 x 3306311929 x 3665773559 x 95687
Negative: -1 x -340550033-103 x -3306311-929 x -366577-3559 x -95687


How do I find the factor combinations of the number 340,550,033?

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 340,550,033, 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.

1 340,550,033
-1 -340,550,033

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 340,550,033.

Example:
1 x 340,550,033 = 340,550,033
and
-1 x -340,550,033 = 340,550,033
Notice both answers equal 340,550,033

With that explanation out of the way, let's continue. Next, we take the number 340,550,033 and divide it by 2:

340,550,033 ÷ 2 = 170,275,016.5

If the quotient is a whole number, then 2 and 170,275,016.5 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:

1 340,550,033
-1 -340,550,033

Now, we try dividing 340,550,033 by 3:

340,550,033 ÷ 3 = 113,516,677.6667

If the quotient is a whole number, then 3 and 113,516,677.6667 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:

1 340,550,033
-1 -340,550,033

Let's try dividing by 4:

340,550,033 ÷ 4 = 85,137,508.25

If the quotient is a whole number, then 4 and 85,137,508.25 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:

1 340,550,033
-1 340,550,033
Keep dividing by the next highest number until you cannot divide anymore.

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

11039293,55995,687366,5773,306,311340,550,033
-1-103-929-3,559-95,687-366,577-3,306,311-340,550,033

More Examples

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