Q: What are the factor combinations of the number 243,520,043?

 A:
Positive:   1 x 24352004313 x 1873231173 x 3335891169 x 1440947949 x 25660712337 x 19739
Negative: -1 x -243520043-13 x -18732311-73 x -3335891-169 x -1440947-949 x -256607-12337 x -19739


How do I find the factor combinations of the number 243,520,043?

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 243,520,043, 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.

1 243,520,043
-1 -243,520,043

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 243,520,043.

Example:
1 x 243,520,043 = 243,520,043
and
-1 x -243,520,043 = 243,520,043
Notice both answers equal 243,520,043

With that explanation out of the way, let's continue. Next, we take the number 243,520,043 and divide it by 2:

243,520,043 ÷ 2 = 121,760,021.5

If the quotient is a whole number, then 2 and 121,760,021.5 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:

1 243,520,043
-1 -243,520,043

Now, we try dividing 243,520,043 by 3:

243,520,043 ÷ 3 = 81,173,347.6667

If the quotient is a whole number, then 3 and 81,173,347.6667 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:

1 243,520,043
-1 -243,520,043

Let's try dividing by 4:

243,520,043 ÷ 4 = 60,880,010.75

If the quotient is a whole number, then 4 and 60,880,010.75 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:

1 243,520,043
-1 243,520,043
Keep dividing by the next highest number until you cannot divide anymore.

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

1137316994912,33719,739256,6071,440,9473,335,89118,732,311243,520,043
-1-13-73-169-949-12,337-19,739-256,607-1,440,947-3,335,891-18,732,311-243,520,043

More Examples

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