Q: What are the factor combinations of the number 241,716,625?

 A:
Positive:   1 x 2417166255 x 4834332517 x 1421862525 x 966866585 x 2843725125 x 1933733425 x 5687452125 x 113749
Negative: -1 x -241716625-5 x -48343325-17 x -14218625-25 x -9668665-85 x -2843725-125 x -1933733-425 x -568745-2125 x -113749


How do I find the factor combinations of the number 241,716,625?

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 241,716,625, 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.

1 241,716,625
-1 -241,716,625

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 241,716,625.

Example:
1 x 241,716,625 = 241,716,625
and
-1 x -241,716,625 = 241,716,625
Notice both answers equal 241,716,625

With that explanation out of the way, let's continue. Next, we take the number 241,716,625 and divide it by 2:

241,716,625 ÷ 2 = 120,858,312.5

If the quotient is a whole number, then 2 and 120,858,312.5 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:

1 241,716,625
-1 -241,716,625

Now, we try dividing 241,716,625 by 3:

241,716,625 ÷ 3 = 80,572,208.3333

If the quotient is a whole number, then 3 and 80,572,208.3333 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:

1 241,716,625
-1 -241,716,625

Let's try dividing by 4:

241,716,625 ÷ 4 = 60,429,156.25

If the quotient is a whole number, then 4 and 60,429,156.25 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:

1 241,716,625
-1 241,716,625
Keep dividing by the next highest number until you cannot divide anymore.

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

151725851254252,125113,749568,7451,933,7332,843,7259,668,66514,218,62548,343,325241,716,625
-1-5-17-25-85-125-425-2,125-113,749-568,745-1,933,733-2,843,725-9,668,665-14,218,625-48,343,325-241,716,625

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