Q: What are the factor combinations of the number 532,675?

 A:
Positive:   1 x 5326755 x 10653511 x 4842513 x 4097525 x 2130755 x 968565 x 8195143 x 3725149 x 3575275 x 1937325 x 1639715 x 745
Negative: -1 x -532675-5 x -106535-11 x -48425-13 x -40975-25 x -21307-55 x -9685-65 x -8195-143 x -3725-149 x -3575-275 x -1937-325 x -1639-715 x -745


How do I find the factor combinations of the number 532,675?

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 532,675, 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.

1 532,675
-1 -532,675

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 532,675.

Example:
1 x 532,675 = 532,675
and
-1 x -532,675 = 532,675
Notice both answers equal 532,675

With that explanation out of the way, let's continue. Next, we take the number 532,675 and divide it by 2:

532,675 ÷ 2 = 266,337.5

If the quotient is a whole number, then 2 and 266,337.5 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:

1 532,675
-1 -532,675

Now, we try dividing 532,675 by 3:

532,675 ÷ 3 = 177,558.3333

If the quotient is a whole number, then 3 and 177,558.3333 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:

1 532,675
-1 -532,675

Let's try dividing by 4:

532,675 ÷ 4 = 133,168.75

If the quotient is a whole number, then 4 and 133,168.75 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:

1 532,675
-1 532,675
Keep dividing by the next highest number until you cannot divide anymore.

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

1511132555651431492753257157451,6391,9373,5753,7258,1959,68521,30740,97548,425106,535532,675
-1-5-11-13-25-55-65-143-149-275-325-715-745-1,639-1,937-3,575-3,725-8,195-9,685-21,307-40,975-48,425-106,535-532,675

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