Q: What are the factor combinations of the number 443,420,611?

 A:
Positive:   1 x 44342061123 x 1927915783 x 5342417109 x 40680791909 x 2322792131 x 2080812507 x 1768739047 x 49013
Negative: -1 x -443420611-23 x -19279157-83 x -5342417-109 x -4068079-1909 x -232279-2131 x -208081-2507 x -176873-9047 x -49013


How do I find the factor combinations of the number 443,420,611?

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 443,420,611, 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.

1 443,420,611
-1 -443,420,611

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 443,420,611.

Example:
1 x 443,420,611 = 443,420,611
and
-1 x -443,420,611 = 443,420,611
Notice both answers equal 443,420,611

With that explanation out of the way, let's continue. Next, we take the number 443,420,611 and divide it by 2:

443,420,611 ÷ 2 = 221,710,305.5

If the quotient is a whole number, then 2 and 221,710,305.5 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:

1 443,420,611
-1 -443,420,611

Now, we try dividing 443,420,611 by 3:

443,420,611 ÷ 3 = 147,806,870.3333

If the quotient is a whole number, then 3 and 147,806,870.3333 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:

1 443,420,611
-1 -443,420,611

Let's try dividing by 4:

443,420,611 ÷ 4 = 110,855,152.75

If the quotient is a whole number, then 4 and 110,855,152.75 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:

1 443,420,611
-1 443,420,611
Keep dividing by the next highest number until you cannot divide anymore.

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

123831091,9092,1312,5079,04749,013176,873208,081232,2794,068,0795,342,41719,279,157443,420,611
-1-23-83-109-1,909-2,131-2,507-9,047-49,013-176,873-208,081-232,279-4,068,079-5,342,417-19,279,157-443,420,611

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