Q: What are the factor combinations of the number 533,975?

 A:
Positive:   1 x 5339755 x 10679513 x 4107525 x 2135931 x 1722553 x 1007565 x 8215155 x 3445265 x 2015325 x 1643403 x 1325689 x 775
Negative: -1 x -533975-5 x -106795-13 x -41075-25 x -21359-31 x -17225-53 x -10075-65 x -8215-155 x -3445-265 x -2015-325 x -1643-403 x -1325-689 x -775


How do I find the factor combinations of the number 533,975?

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 533,975, 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.

1 533,975
-1 -533,975

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 533,975.

Example:
1 x 533,975 = 533,975
and
-1 x -533,975 = 533,975
Notice both answers equal 533,975

With that explanation out of the way, let's continue. Next, we take the number 533,975 and divide it by 2:

533,975 ÷ 2 = 266,987.5

If the quotient is a whole number, then 2 and 266,987.5 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:

1 533,975
-1 -533,975

Now, we try dividing 533,975 by 3:

533,975 ÷ 3 = 177,991.6667

If the quotient is a whole number, then 3 and 177,991.6667 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:

1 533,975
-1 -533,975

Let's try dividing by 4:

533,975 ÷ 4 = 133,493.75

If the quotient is a whole number, then 4 and 133,493.75 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:

1 533,975
-1 533,975
Keep dividing by the next highest number until you cannot divide anymore.

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

1513253153651552653254036897751,3251,6432,0153,4458,21510,07517,22521,35941,075106,795533,975
-1-5-13-25-31-53-65-155-265-325-403-689-775-1,325-1,643-2,015-3,445-8,215-10,075-17,225-21,359-41,075-106,795-533,975

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