Q: What are the factor combinations of the number 829,932?

 A:
Positive:   1 x 8299322 x 4149663 x 2766444 x 2074836 x 13832212 x 6916123 x 3608431 x 2677246 x 1804262 x 1338669 x 1202892 x 902193 x 892497 x 8556124 x 6693138 x 6014186 x 4462194 x 4278276 x 3007291 x 2852372 x 2231388 x 2139582 x 1426713 x 1164
Negative: -1 x -829932-2 x -414966-3 x -276644-4 x -207483-6 x -138322-12 x -69161-23 x -36084-31 x -26772-46 x -18042-62 x -13386-69 x -12028-92 x -9021-93 x -8924-97 x -8556-124 x -6693-138 x -6014-186 x -4462-194 x -4278-276 x -3007-291 x -2852-372 x -2231-388 x -2139-582 x -1426-713 x -1164


How do I find the factor combinations of the number 829,932?

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 829,932, 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.

1 829,932
-1 -829,932

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 829,932.

Example:
1 x 829,932 = 829,932
and
-1 x -829,932 = 829,932
Notice both answers equal 829,932

With that explanation out of the way, let's continue. Next, we take the number 829,932 and divide it by 2:

829,932 ÷ 2 = 414,966

If the quotient is a whole number, then 2 and 414,966 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 2 414,966 829,932
-1 -2 -414,966 -829,932

Now, we try dividing 829,932 by 3:

829,932 ÷ 3 = 276,644

If the quotient is a whole number, then 3 and 276,644 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 3 276,644 414,966 829,932
-1 -2 -3 -276,644 -414,966 -829,932

Let's try dividing by 4:

829,932 ÷ 4 = 207,483

If the quotient is a whole number, then 4 and 207,483 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 4 207,483 276,644 414,966 829,932
-1 -2 -3 -4 -207,483 -276,644 -414,966 829,932
Keep dividing by the next highest number until you cannot divide anymore.

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

123461223314662699293971241381861942762913723885827131,1641,4262,1392,2312,8523,0074,2784,4626,0146,6938,5568,9249,02112,02813,38618,04226,77236,08469,161138,322207,483276,644414,966829,932
-1-2-3-4-6-12-23-31-46-62-69-92-93-97-124-138-186-194-276-291-372-388-582-713-1,164-1,426-2,139-2,231-2,852-3,007-4,278-4,462-6,014-6,693-8,556-8,924-9,021-12,028-13,386-18,042-26,772-36,084-69,161-138,322-207,483-276,644-414,966-829,932

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