Q: What are the factor combinations of the number 542,208,545?

 A:
Positive:   1 x 5422085455 x 10844170937 x 14654285185 x 2930857239 x 22686551195 x 4537318843 x 6131512263 x 44215
Negative: -1 x -542208545-5 x -108441709-37 x -14654285-185 x -2930857-239 x -2268655-1195 x -453731-8843 x -61315-12263 x -44215


How do I find the factor combinations of the number 542,208,545?

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 542,208,545, 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.

1 542,208,545
-1 -542,208,545

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 542,208,545.

Example:
1 x 542,208,545 = 542,208,545
and
-1 x -542,208,545 = 542,208,545
Notice both answers equal 542,208,545

With that explanation out of the way, let's continue. Next, we take the number 542,208,545 and divide it by 2:

542,208,545 ÷ 2 = 271,104,272.5

If the quotient is a whole number, then 2 and 271,104,272.5 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:

1 542,208,545
-1 -542,208,545

Now, we try dividing 542,208,545 by 3:

542,208,545 ÷ 3 = 180,736,181.6667

If the quotient is a whole number, then 3 and 180,736,181.6667 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:

1 542,208,545
-1 -542,208,545

Let's try dividing by 4:

542,208,545 ÷ 4 = 135,552,136.25

If the quotient is a whole number, then 4 and 135,552,136.25 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:

1 542,208,545
-1 542,208,545
Keep dividing by the next highest number until you cannot divide anymore.

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

15371852391,1958,84312,26344,21561,315453,7312,268,6552,930,85714,654,285108,441,709542,208,545
-1-5-37-185-239-1,195-8,843-12,263-44,215-61,315-453,731-2,268,655-2,930,857-14,654,285-108,441,709-542,208,545

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