Q: What are the factor combinations of the number 243,453,221?

 A:
Positive:   1 x 24345322111 x 2213211153 x 4593457583 x 4175872809 x 866697879 x 30899
Negative: -1 x -243453221-11 x -22132111-53 x -4593457-583 x -417587-2809 x -86669-7879 x -30899


How do I find the factor combinations of the number 243,453,221?

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 243,453,221, 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.

1 243,453,221
-1 -243,453,221

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 243,453,221.

Example:
1 x 243,453,221 = 243,453,221
and
-1 x -243,453,221 = 243,453,221
Notice both answers equal 243,453,221

With that explanation out of the way, let's continue. Next, we take the number 243,453,221 and divide it by 2:

243,453,221 ÷ 2 = 121,726,610.5

If the quotient is a whole number, then 2 and 121,726,610.5 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:

1 243,453,221
-1 -243,453,221

Now, we try dividing 243,453,221 by 3:

243,453,221 ÷ 3 = 81,151,073.6667

If the quotient is a whole number, then 3 and 81,151,073.6667 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:

1 243,453,221
-1 -243,453,221

Let's try dividing by 4:

243,453,221 ÷ 4 = 60,863,305.25

If the quotient is a whole number, then 4 and 60,863,305.25 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:

1 243,453,221
-1 243,453,221
Keep dividing by the next highest number until you cannot divide anymore.

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

111535832,8097,87930,89986,669417,5874,593,45722,132,111243,453,221
-1-11-53-583-2,809-7,879-30,899-86,669-417,587-4,593,457-22,132,111-243,453,221

More Examples

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