Q: What are the factor combinations of the number 241,034,425?

 A:
Positive:   1 x 2410344255 x 4820688525 x 9641377109 x 2211325197 x 1223525449 x 536825545 x 442265985 x 2447052245 x 1073652725 x 884534925 x 4894111225 x 21473
Negative: -1 x -241034425-5 x -48206885-25 x -9641377-109 x -2211325-197 x -1223525-449 x -536825-545 x -442265-985 x -244705-2245 x -107365-2725 x -88453-4925 x -48941-11225 x -21473


How do I find the factor combinations of the number 241,034,425?

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 241,034,425, 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.

1 241,034,425
-1 -241,034,425

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 241,034,425.

Example:
1 x 241,034,425 = 241,034,425
and
-1 x -241,034,425 = 241,034,425
Notice both answers equal 241,034,425

With that explanation out of the way, let's continue. Next, we take the number 241,034,425 and divide it by 2:

241,034,425 ÷ 2 = 120,517,212.5

If the quotient is a whole number, then 2 and 120,517,212.5 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:

1 241,034,425
-1 -241,034,425

Now, we try dividing 241,034,425 by 3:

241,034,425 ÷ 3 = 80,344,808.3333

If the quotient is a whole number, then 3 and 80,344,808.3333 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:

1 241,034,425
-1 -241,034,425

Let's try dividing by 4:

241,034,425 ÷ 4 = 60,258,606.25

If the quotient is a whole number, then 4 and 60,258,606.25 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:

1 241,034,425
-1 241,034,425
Keep dividing by the next highest number until you cannot divide anymore.

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

15251091974495459852,2452,7254,92511,22521,47348,94188,453107,365244,705442,265536,8251,223,5252,211,3259,641,37748,206,885241,034,425
-1-5-25-109-197-449-545-985-2,245-2,725-4,925-11,225-21,473-48,941-88,453-107,365-244,705-442,265-536,825-1,223,525-2,211,325-9,641,377-48,206,885-241,034,425

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