Q: What are the factor combinations of the number 230,104,273?

 A:
Positive:   1 x 2301042737 x 3287203997 x 2372209113 x 2036321679 x 338887791 x 2909032999 x 7672710961 x 20993
Negative: -1 x -230104273-7 x -32872039-97 x -2372209-113 x -2036321-679 x -338887-791 x -290903-2999 x -76727-10961 x -20993


How do I find the factor combinations of the number 230,104,273?

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 230,104,273, 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.

1 230,104,273
-1 -230,104,273

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 230,104,273.

Example:
1 x 230,104,273 = 230,104,273
and
-1 x -230,104,273 = 230,104,273
Notice both answers equal 230,104,273

With that explanation out of the way, let's continue. Next, we take the number 230,104,273 and divide it by 2:

230,104,273 ÷ 2 = 115,052,136.5

If the quotient is a whole number, then 2 and 115,052,136.5 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:

1 230,104,273
-1 -230,104,273

Now, we try dividing 230,104,273 by 3:

230,104,273 ÷ 3 = 76,701,424.3333

If the quotient is a whole number, then 3 and 76,701,424.3333 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:

1 230,104,273
-1 -230,104,273

Let's try dividing by 4:

230,104,273 ÷ 4 = 57,526,068.25

If the quotient is a whole number, then 4 and 57,526,068.25 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:

1 230,104,273
-1 230,104,273
Keep dividing by the next highest number until you cannot divide anymore.

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

17971136797912,99910,96120,99376,727290,903338,8872,036,3212,372,20932,872,039230,104,273
-1-7-97-113-679-791-2,999-10,961-20,993-76,727-290,903-338,887-2,036,321-2,372,209-32,872,039-230,104,273

More Examples

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