Q: What are the factor combinations of the number 442,062,517?

 A:
Positive:   1 x 44206251713 x 34004809179 x 2469623271 x 1631227701 x 6306172327 x 1899713523 x 1254799113 x 48509
Negative: -1 x -442062517-13 x -34004809-179 x -2469623-271 x -1631227-701 x -630617-2327 x -189971-3523 x -125479-9113 x -48509


How do I find the factor combinations of the number 442,062,517?

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 442,062,517, 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.

1 442,062,517
-1 -442,062,517

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 442,062,517.

Example:
1 x 442,062,517 = 442,062,517
and
-1 x -442,062,517 = 442,062,517
Notice both answers equal 442,062,517

With that explanation out of the way, let's continue. Next, we take the number 442,062,517 and divide it by 2:

442,062,517 ÷ 2 = 221,031,258.5

If the quotient is a whole number, then 2 and 221,031,258.5 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:

1 442,062,517
-1 -442,062,517

Now, we try dividing 442,062,517 by 3:

442,062,517 ÷ 3 = 147,354,172.3333

If the quotient is a whole number, then 3 and 147,354,172.3333 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:

1 442,062,517
-1 -442,062,517

Let's try dividing by 4:

442,062,517 ÷ 4 = 110,515,629.25

If the quotient is a whole number, then 4 and 110,515,629.25 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:

1 442,062,517
-1 442,062,517
Keep dividing by the next highest number until you cannot divide anymore.

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

1131792717012,3273,5239,11348,509125,479189,971630,6171,631,2272,469,62334,004,809442,062,517
-1-13-179-271-701-2,327-3,523-9,113-48,509-125,479-189,971-630,617-1,631,227-2,469,623-34,004,809-442,062,517

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