Q: What are the factor combinations of the number 533,211,001?

 A:
Positive:   1 x 53321100117 x 3136535323 x 23183087391 x 1363711823 x 6478871657 x 32179313991 x 3811118929 x 28169
Negative: -1 x -533211001-17 x -31365353-23 x -23183087-391 x -1363711-823 x -647887-1657 x -321793-13991 x -38111-18929 x -28169


How do I find the factor combinations of the number 533,211,001?

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 533,211,001, 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.

1 533,211,001
-1 -533,211,001

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 533,211,001.

Example:
1 x 533,211,001 = 533,211,001
and
-1 x -533,211,001 = 533,211,001
Notice both answers equal 533,211,001

With that explanation out of the way, let's continue. Next, we take the number 533,211,001 and divide it by 2:

533,211,001 ÷ 2 = 266,605,500.5

If the quotient is a whole number, then 2 and 266,605,500.5 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:

1 533,211,001
-1 -533,211,001

Now, we try dividing 533,211,001 by 3:

533,211,001 ÷ 3 = 177,737,000.3333

If the quotient is a whole number, then 3 and 177,737,000.3333 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:

1 533,211,001
-1 -533,211,001

Let's try dividing by 4:

533,211,001 ÷ 4 = 133,302,750.25

If the quotient is a whole number, then 4 and 133,302,750.25 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:

1 533,211,001
-1 533,211,001
Keep dividing by the next highest number until you cannot divide anymore.

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

117233918231,65713,99118,92928,16938,111321,793647,8871,363,71123,183,08731,365,353533,211,001
-1-17-23-391-823-1,657-13,991-18,929-28,169-38,111-321,793-647,887-1,363,711-23,183,087-31,365,353-533,211,001

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