Q: What are the factor combinations of the number 404,495?

 A:
Positive:   1 x 4044955 x 808997 x 5778513 x 3111535 x 1155749 x 825565 x 622391 x 4445127 x 3185245 x 1651455 x 889635 x 637
Negative: -1 x -404495-5 x -80899-7 x -57785-13 x -31115-35 x -11557-49 x -8255-65 x -6223-91 x -4445-127 x -3185-245 x -1651-455 x -889-635 x -637


How do I find the factor combinations of the number 404,495?

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 404,495, 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.

1 404,495
-1 -404,495

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 404,495.

Example:
1 x 404,495 = 404,495
and
-1 x -404,495 = 404,495
Notice both answers equal 404,495

With that explanation out of the way, let's continue. Next, we take the number 404,495 and divide it by 2:

404,495 ÷ 2 = 202,247.5

If the quotient is a whole number, then 2 and 202,247.5 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:

1 404,495
-1 -404,495

Now, we try dividing 404,495 by 3:

404,495 ÷ 3 = 134,831.6667

If the quotient is a whole number, then 3 and 134,831.6667 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:

1 404,495
-1 -404,495

Let's try dividing by 4:

404,495 ÷ 4 = 101,123.75

If the quotient is a whole number, then 4 and 101,123.75 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:

1 404,495
-1 404,495
Keep dividing by the next highest number until you cannot divide anymore.

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

15713354965911272454556356378891,6513,1854,4456,2238,25511,55731,11557,78580,899404,495
-1-5-7-13-35-49-65-91-127-245-455-635-637-889-1,651-3,185-4,445-6,223-8,255-11,557-31,115-57,785-80,899-404,495

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