Q: What are the factor combinations of the number 542,443,231?

 A:
Positive:   1 x 54244323111 x 4931302129 x 18704939211 x 2570821319 x 17004492321 x 2337116119 x 886498059 x 67309
Negative: -1 x -542443231-11 x -49313021-29 x -18704939-211 x -2570821-319 x -1700449-2321 x -233711-6119 x -88649-8059 x -67309


How do I find the factor combinations of the number 542,443,231?

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 542,443,231, 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.

1 542,443,231
-1 -542,443,231

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 542,443,231.

Example:
1 x 542,443,231 = 542,443,231
and
-1 x -542,443,231 = 542,443,231
Notice both answers equal 542,443,231

With that explanation out of the way, let's continue. Next, we take the number 542,443,231 and divide it by 2:

542,443,231 ÷ 2 = 271,221,615.5

If the quotient is a whole number, then 2 and 271,221,615.5 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:

1 542,443,231
-1 -542,443,231

Now, we try dividing 542,443,231 by 3:

542,443,231 ÷ 3 = 180,814,410.3333

If the quotient is a whole number, then 3 and 180,814,410.3333 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:

1 542,443,231
-1 -542,443,231

Let's try dividing by 4:

542,443,231 ÷ 4 = 135,610,807.75

If the quotient is a whole number, then 4 and 135,610,807.75 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:

1 542,443,231
-1 542,443,231
Keep dividing by the next highest number until you cannot divide anymore.

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

111292113192,3216,1198,05967,30988,649233,7111,700,4492,570,82118,704,93949,313,021542,443,231
-1-11-29-211-319-2,321-6,119-8,059-67,309-88,649-233,711-1,700,449-2,570,821-18,704,939-49,313,021-542,443,231

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