Q: What are the factor combinations of the number 42,341,233?

 A:
Positive:   1 x 4234123311 x 384920341 x 1032713223 x 189871421 x 100573451 x 938832453 x 172614631 x 9143
Negative: -1 x -42341233-11 x -3849203-41 x -1032713-223 x -189871-421 x -100573-451 x -93883-2453 x -17261-4631 x -9143


How do I find the factor combinations of the number 42,341,233?

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 42,341,233, 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 42,341,233
-1 -42,341,233

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 42,341,233.

Example:
1 x 42,341,233 = 42,341,233
and
-1 x -42,341,233 = 42,341,233
Notice both answers equal 42,341,233

With that explanation out of the way, let's continue. Next, we take the number 42,341,233 and divide it by 2:

42,341,233 ÷ 2 = 21,170,616.5

If the quotient is a whole number, then 2 and 21,170,616.5 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 42,341,233
-1 -42,341,233

Now, we try dividing 42,341,233 by 3:

42,341,233 ÷ 3 = 14,113,744.3333

If the quotient is a whole number, then 3 and 14,113,744.3333 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 42,341,233
-1 -42,341,233

Let's try dividing by 4:

42,341,233 ÷ 4 = 10,585,308.25

If the quotient is a whole number, then 4 and 10,585,308.25 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 42,341,233
-1 42,341,233
Keep dividing by the next highest number until you cannot divide anymore.

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

111412234214512,4534,6319,14317,26193,883100,573189,8711,032,7133,849,20342,341,233
-1-11-41-223-421-451-2,453-4,631-9,143-17,261-93,883-100,573-189,871-1,032,713-3,849,203-42,341,233

More Examples

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