Q: What are the factor combinations of the number 241,045,601?

 A:
Positive:   1 x 24104560117 x 1417915341 x 5879161239 x 1008559697 x 3458331447 x 1665834063 x 593279799 x 24599
Negative: -1 x -241045601-17 x -14179153-41 x -5879161-239 x -1008559-697 x -345833-1447 x -166583-4063 x -59327-9799 x -24599


How do I find the factor combinations of the number 241,045,601?

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 241,045,601, 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.

1 241,045,601
-1 -241,045,601

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 241,045,601.

Example:
1 x 241,045,601 = 241,045,601
and
-1 x -241,045,601 = 241,045,601
Notice both answers equal 241,045,601

With that explanation out of the way, let's continue. Next, we take the number 241,045,601 and divide it by 2:

241,045,601 ÷ 2 = 120,522,800.5

If the quotient is a whole number, then 2 and 120,522,800.5 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:

1 241,045,601
-1 -241,045,601

Now, we try dividing 241,045,601 by 3:

241,045,601 ÷ 3 = 80,348,533.6667

If the quotient is a whole number, then 3 and 80,348,533.6667 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:

1 241,045,601
-1 -241,045,601

Let's try dividing by 4:

241,045,601 ÷ 4 = 60,261,400.25

If the quotient is a whole number, then 4 and 60,261,400.25 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:

1 241,045,601
-1 241,045,601
Keep dividing by the next highest number until you cannot divide anymore.

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

117412396971,4474,0639,79924,59959,327166,583345,8331,008,5595,879,16114,179,153241,045,601
-1-17-41-239-697-1,447-4,063-9,799-24,599-59,327-166,583-345,833-1,008,559-5,879,161-14,179,153-241,045,601

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