Q: What are the factor combinations of the number 241,422,127?

 A:
Positive:   1 x 24142212747 x 5136641113 x 2136479131 x 1842917347 x 6957415311 x 454576157 x 3921114803 x 16309
Negative: -1 x -241422127-47 x -5136641-113 x -2136479-131 x -1842917-347 x -695741-5311 x -45457-6157 x -39211-14803 x -16309


How do I find the factor combinations of the number 241,422,127?

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 241,422,127, 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.

1 241,422,127
-1 -241,422,127

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 241,422,127.

Example:
1 x 241,422,127 = 241,422,127
and
-1 x -241,422,127 = 241,422,127
Notice both answers equal 241,422,127

With that explanation out of the way, let's continue. Next, we take the number 241,422,127 and divide it by 2:

241,422,127 ÷ 2 = 120,711,063.5

If the quotient is a whole number, then 2 and 120,711,063.5 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:

1 241,422,127
-1 -241,422,127

Now, we try dividing 241,422,127 by 3:

241,422,127 ÷ 3 = 80,474,042.3333

If the quotient is a whole number, then 3 and 80,474,042.3333 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:

1 241,422,127
-1 -241,422,127

Let's try dividing by 4:

241,422,127 ÷ 4 = 60,355,531.75

If the quotient is a whole number, then 4 and 60,355,531.75 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:

1 241,422,127
-1 241,422,127
Keep dividing by the next highest number until you cannot divide anymore.

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

1471131313475,3116,15714,80316,30939,21145,457695,7411,842,9172,136,4795,136,641241,422,127
-1-47-113-131-347-5,311-6,157-14,803-16,309-39,211-45,457-695,741-1,842,917-2,136,479-5,136,641-241,422,127

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