Q: What are the factor combinations of the number 533,672,155?

 A:
Positive:   1 x 5336721555 x 10673443183 x 6429785415 x 1285957541 x 9864552377 x 2245152705 x 19729111885 x 44903
Negative: -1 x -533672155-5 x -106734431-83 x -6429785-415 x -1285957-541 x -986455-2377 x -224515-2705 x -197291-11885 x -44903


How do I find the factor combinations of the number 533,672,155?

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 533,672,155, 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.

1 533,672,155
-1 -533,672,155

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 533,672,155.

Example:
1 x 533,672,155 = 533,672,155
and
-1 x -533,672,155 = 533,672,155
Notice both answers equal 533,672,155

With that explanation out of the way, let's continue. Next, we take the number 533,672,155 and divide it by 2:

533,672,155 ÷ 2 = 266,836,077.5

If the quotient is a whole number, then 2 and 266,836,077.5 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:

1 533,672,155
-1 -533,672,155

Now, we try dividing 533,672,155 by 3:

533,672,155 ÷ 3 = 177,890,718.3333

If the quotient is a whole number, then 3 and 177,890,718.3333 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:

1 533,672,155
-1 -533,672,155

Let's try dividing by 4:

533,672,155 ÷ 4 = 133,418,038.75

If the quotient is a whole number, then 4 and 133,418,038.75 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:

1 533,672,155
-1 533,672,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15834155412,3772,70511,88544,903197,291224,515986,4551,285,9576,429,785106,734,431533,672,155
-1-5-83-415-541-2,377-2,705-11,885-44,903-197,291-224,515-986,455-1,285,957-6,429,785-106,734,431-533,672,155

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