Q: What are the factor combinations of the number 633,852?

 A:
Positive:   1 x 6338522 x 3169263 x 2112844 x 1584636 x 1056429 x 7042812 x 5282118 x 3521427 x 2347636 x 1760754 x 11738108 x 5869
Negative: -1 x -633852-2 x -316926-3 x -211284-4 x -158463-6 x -105642-9 x -70428-12 x -52821-18 x -35214-27 x -23476-36 x -17607-54 x -11738-108 x -5869


How do I find the factor combinations of the number 633,852?

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 633,852, 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.

1 633,852
-1 -633,852

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 633,852.

Example:
1 x 633,852 = 633,852
and
-1 x -633,852 = 633,852
Notice both answers equal 633,852

With that explanation out of the way, let's continue. Next, we take the number 633,852 and divide it by 2:

633,852 ÷ 2 = 316,926

If the quotient is a whole number, then 2 and 316,926 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 316,926 633,852
-1 -2 -316,926 -633,852

Now, we try dividing 633,852 by 3:

633,852 ÷ 3 = 211,284

If the quotient is a whole number, then 3 and 211,284 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 211,284 316,926 633,852
-1 -2 -3 -211,284 -316,926 -633,852

Let's try dividing by 4:

633,852 ÷ 4 = 158,463

If the quotient is a whole number, then 4 and 158,463 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 158,463 211,284 316,926 633,852
-1 -2 -3 -4 -158,463 -211,284 -316,926 633,852
Keep dividing by the next highest number until you cannot divide anymore.

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

12346912182736541085,86911,73817,60723,47635,21452,82170,428105,642158,463211,284316,926633,852
-1-2-3-4-6-9-12-18-27-36-54-108-5,869-11,738-17,607-23,476-35,214-52,821-70,428-105,642-158,463-211,284-316,926-633,852

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