Q: What are the factor combinations of the number 542,208,559?

 A:
Positive:   1 x 54220855941 x 1322459989 x 6092231139 x 39007811069 x 5072113649 x 1485915699 x 9514112371 x 43829
Negative: -1 x -542208559-41 x -13224599-89 x -6092231-139 x -3900781-1069 x -507211-3649 x -148591-5699 x -95141-12371 x -43829


How do I find the factor combinations of the number 542,208,559?

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 542,208,559, 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.

1 542,208,559
-1 -542,208,559

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 542,208,559.

Example:
1 x 542,208,559 = 542,208,559
and
-1 x -542,208,559 = 542,208,559
Notice both answers equal 542,208,559

With that explanation out of the way, let's continue. Next, we take the number 542,208,559 and divide it by 2:

542,208,559 ÷ 2 = 271,104,279.5

If the quotient is a whole number, then 2 and 271,104,279.5 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:

1 542,208,559
-1 -542,208,559

Now, we try dividing 542,208,559 by 3:

542,208,559 ÷ 3 = 180,736,186.3333

If the quotient is a whole number, then 3 and 180,736,186.3333 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:

1 542,208,559
-1 -542,208,559

Let's try dividing by 4:

542,208,559 ÷ 4 = 135,552,139.75

If the quotient is a whole number, then 4 and 135,552,139.75 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:

1 542,208,559
-1 542,208,559
Keep dividing by the next highest number until you cannot divide anymore.

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

141891391,0693,6495,69912,37143,82995,141148,591507,2113,900,7816,092,23113,224,599542,208,559
-1-41-89-139-1,069-3,649-5,699-12,371-43,829-95,141-148,591-507,211-3,900,781-6,092,231-13,224,599-542,208,559

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 542,208,559:


Ask a Question