Q: What are the factor combinations of the number 241,061,225?

 A:
Positive:   1 x 2410612255 x 4821224525 x 964244943 x 560607553 x 4548325215 x 1121215265 x 9096651075 x 2242431325 x 1819332279 x 1057754231 x 5697511395 x 21155
Negative: -1 x -241061225-5 x -48212245-25 x -9642449-43 x -5606075-53 x -4548325-215 x -1121215-265 x -909665-1075 x -224243-1325 x -181933-2279 x -105775-4231 x -56975-11395 x -21155


How do I find the factor combinations of the number 241,061,225?

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 241,061,225, 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.

1 241,061,225
-1 -241,061,225

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 241,061,225.

Example:
1 x 241,061,225 = 241,061,225
and
-1 x -241,061,225 = 241,061,225
Notice both answers equal 241,061,225

With that explanation out of the way, let's continue. Next, we take the number 241,061,225 and divide it by 2:

241,061,225 ÷ 2 = 120,530,612.5

If the quotient is a whole number, then 2 and 120,530,612.5 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:

1 241,061,225
-1 -241,061,225

Now, we try dividing 241,061,225 by 3:

241,061,225 ÷ 3 = 80,353,741.6667

If the quotient is a whole number, then 3 and 80,353,741.6667 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:

1 241,061,225
-1 -241,061,225

Let's try dividing by 4:

241,061,225 ÷ 4 = 60,265,306.25

If the quotient is a whole number, then 4 and 60,265,306.25 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:

1 241,061,225
-1 241,061,225
Keep dividing by the next highest number until you cannot divide anymore.

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

152543532152651,0751,3252,2794,23111,39521,15556,975105,775181,933224,243909,6651,121,2154,548,3255,606,0759,642,44948,212,245241,061,225
-1-5-25-43-53-215-265-1,075-1,325-2,279-4,231-11,395-21,155-56,975-105,775-181,933-224,243-909,665-1,121,215-4,548,325-5,606,075-9,642,449-48,212,245-241,061,225

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