Q: What are the factor combinations of the number 542,664,463?

 A:
Positive:   1 x 54266446311 x 4933313317 x 3192143997 x 5594479187 x 29019491067 x 5085891649 x 32908718139 x 29917
Negative: -1 x -542664463-11 x -49333133-17 x -31921439-97 x -5594479-187 x -2901949-1067 x -508589-1649 x -329087-18139 x -29917


How do I find the factor combinations of the number 542,664,463?

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 542,664,463, 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.

1 542,664,463
-1 -542,664,463

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 542,664,463.

Example:
1 x 542,664,463 = 542,664,463
and
-1 x -542,664,463 = 542,664,463
Notice both answers equal 542,664,463

With that explanation out of the way, let's continue. Next, we take the number 542,664,463 and divide it by 2:

542,664,463 ÷ 2 = 271,332,231.5

If the quotient is a whole number, then 2 and 271,332,231.5 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:

1 542,664,463
-1 -542,664,463

Now, we try dividing 542,664,463 by 3:

542,664,463 ÷ 3 = 180,888,154.3333

If the quotient is a whole number, then 3 and 180,888,154.3333 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:

1 542,664,463
-1 -542,664,463

Let's try dividing by 4:

542,664,463 ÷ 4 = 135,666,115.75

If the quotient is a whole number, then 4 and 135,666,115.75 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:

1 542,664,463
-1 542,664,463
Keep dividing by the next highest number until you cannot divide anymore.

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

11117971871,0671,64918,13929,917329,087508,5892,901,9495,594,47931,921,43949,333,133542,664,463
-1-11-17-97-187-1,067-1,649-18,139-29,917-329,087-508,589-2,901,949-5,594,479-31,921,439-49,333,133-542,664,463

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