Q: What are the factor combinations of the number 243,234,131?

 A:
Positive:   1 x 2432341317 x 3474773323 x 10575397161 x 1510771337 x 7217632359 x 1031094483 x 542577751 x 31381
Negative: -1 x -243234131-7 x -34747733-23 x -10575397-161 x -1510771-337 x -721763-2359 x -103109-4483 x -54257-7751 x -31381


How do I find the factor combinations of the number 243,234,131?

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 243,234,131, 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.

1 243,234,131
-1 -243,234,131

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 243,234,131.

Example:
1 x 243,234,131 = 243,234,131
and
-1 x -243,234,131 = 243,234,131
Notice both answers equal 243,234,131

With that explanation out of the way, let's continue. Next, we take the number 243,234,131 and divide it by 2:

243,234,131 ÷ 2 = 121,617,065.5

If the quotient is a whole number, then 2 and 121,617,065.5 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:

1 243,234,131
-1 -243,234,131

Now, we try dividing 243,234,131 by 3:

243,234,131 ÷ 3 = 81,078,043.6667

If the quotient is a whole number, then 3 and 81,078,043.6667 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:

1 243,234,131
-1 -243,234,131

Let's try dividing by 4:

243,234,131 ÷ 4 = 60,808,532.75

If the quotient is a whole number, then 4 and 60,808,532.75 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:

1 243,234,131
-1 243,234,131
Keep dividing by the next highest number until you cannot divide anymore.

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

17231613372,3594,4837,75131,38154,257103,109721,7631,510,77110,575,39734,747,733243,234,131
-1-7-23-161-337-2,359-4,483-7,751-31,381-54,257-103,109-721,763-1,510,771-10,575,397-34,747,733-243,234,131

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 243,234,131:


Ask a Question