Q: What are the factor combinations of the number 480,445?

 A:
Positive:   1 x 4804455 x 960897 x 6863535 x 1372737 x 1298549 x 980553 x 9065185 x 2597245 x 1961259 x 1855265 x 1813371 x 1295
Negative: -1 x -480445-5 x -96089-7 x -68635-35 x -13727-37 x -12985-49 x -9805-53 x -9065-185 x -2597-245 x -1961-259 x -1855-265 x -1813-371 x -1295


How do I find the factor combinations of the number 480,445?

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 480,445, 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.

1 480,445
-1 -480,445

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 480,445.

Example:
1 x 480,445 = 480,445
and
-1 x -480,445 = 480,445
Notice both answers equal 480,445

With that explanation out of the way, let's continue. Next, we take the number 480,445 and divide it by 2:

480,445 ÷ 2 = 240,222.5

If the quotient is a whole number, then 2 and 240,222.5 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:

1 480,445
-1 -480,445

Now, we try dividing 480,445 by 3:

480,445 ÷ 3 = 160,148.3333

If the quotient is a whole number, then 3 and 160,148.3333 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:

1 480,445
-1 -480,445

Let's try dividing by 4:

480,445 ÷ 4 = 120,111.25

If the quotient is a whole number, then 4 and 120,111.25 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:

1 480,445
-1 480,445
Keep dividing by the next highest number until you cannot divide anymore.

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

157353749531852452592653711,2951,8131,8551,9612,5979,0659,80512,98513,72768,63596,089480,445
-1-5-7-35-37-49-53-185-245-259-265-371-1,295-1,813-1,855-1,961-2,597-9,065-9,805-12,985-13,727-68,635-96,089-480,445

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