Q: What are the factor combinations of the number 532,021,033?

 A:
Positive:   1 x 53202103319 x 28001107157 x 33886692983 x 178351
Negative: -1 x -532021033-19 x -28001107-157 x -3388669-2983 x -178351


How do I find the factor combinations of the number 532,021,033?

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 532,021,033, 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.

1 532,021,033
-1 -532,021,033

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 532,021,033.

Example:
1 x 532,021,033 = 532,021,033
and
-1 x -532,021,033 = 532,021,033
Notice both answers equal 532,021,033

With that explanation out of the way, let's continue. Next, we take the number 532,021,033 and divide it by 2:

532,021,033 ÷ 2 = 266,010,516.5

If the quotient is a whole number, then 2 and 266,010,516.5 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:

1 532,021,033
-1 -532,021,033

Now, we try dividing 532,021,033 by 3:

532,021,033 ÷ 3 = 177,340,344.3333

If the quotient is a whole number, then 3 and 177,340,344.3333 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:

1 532,021,033
-1 -532,021,033

Let's try dividing by 4:

532,021,033 ÷ 4 = 133,005,258.25

If the quotient is a whole number, then 4 and 133,005,258.25 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:

1 532,021,033
-1 532,021,033
Keep dividing by the next highest number until you cannot divide anymore.

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

1191572,983178,3513,388,66928,001,107532,021,033
-1-19-157-2,983-178,351-3,388,669-28,001,107-532,021,033

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