Q: What are the factor combinations of the number 542,006,003?

 A:
Positive:   1 x 5420060037 x 7742942911 x 4927327349 x 1106134777 x 7039039539 x 1005577829 x 6538071213 x 4468315803 x 934018491 x 638339119 x 5943713343 x 40621
Negative: -1 x -542006003-7 x -77429429-11 x -49273273-49 x -11061347-77 x -7039039-539 x -1005577-829 x -653807-1213 x -446831-5803 x -93401-8491 x -63833-9119 x -59437-13343 x -40621


How do I find the factor combinations of the number 542,006,003?

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 542,006,003, 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.

1 542,006,003
-1 -542,006,003

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 542,006,003.

Example:
1 x 542,006,003 = 542,006,003
and
-1 x -542,006,003 = 542,006,003
Notice both answers equal 542,006,003

With that explanation out of the way, let's continue. Next, we take the number 542,006,003 and divide it by 2:

542,006,003 ÷ 2 = 271,003,001.5

If the quotient is a whole number, then 2 and 271,003,001.5 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:

1 542,006,003
-1 -542,006,003

Now, we try dividing 542,006,003 by 3:

542,006,003 ÷ 3 = 180,668,667.6667

If the quotient is a whole number, then 3 and 180,668,667.6667 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:

1 542,006,003
-1 -542,006,003

Let's try dividing by 4:

542,006,003 ÷ 4 = 135,501,500.75

If the quotient is a whole number, then 4 and 135,501,500.75 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:

1 542,006,003
-1 542,006,003
Keep dividing by the next highest number until you cannot divide anymore.

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

171149775398291,2135,8038,4919,11913,34340,62159,43763,83393,401446,831653,8071,005,5777,039,03911,061,34749,273,27377,429,429542,006,003
-1-7-11-49-77-539-829-1,213-5,803-8,491-9,119-13,343-40,621-59,437-63,833-93,401-446,831-653,807-1,005,577-7,039,039-11,061,347-49,273,273-77,429,429-542,006,003

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