Q: What are the factor combinations of the number 380,447,665?

 A:
Positive:   1 x 3804476655 x 7608953313 x 2926520529 x 1311888565 x 5853041145 x 2623777377 x 10091451885 x 201829
Negative: -1 x -380447665-5 x -76089533-13 x -29265205-29 x -13118885-65 x -5853041-145 x -2623777-377 x -1009145-1885 x -201829


How do I find the factor combinations of the number 380,447,665?

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 380,447,665, 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.

1 380,447,665
-1 -380,447,665

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 380,447,665.

Example:
1 x 380,447,665 = 380,447,665
and
-1 x -380,447,665 = 380,447,665
Notice both answers equal 380,447,665

With that explanation out of the way, let's continue. Next, we take the number 380,447,665 and divide it by 2:

380,447,665 ÷ 2 = 190,223,832.5

If the quotient is a whole number, then 2 and 190,223,832.5 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:

1 380,447,665
-1 -380,447,665

Now, we try dividing 380,447,665 by 3:

380,447,665 ÷ 3 = 126,815,888.3333

If the quotient is a whole number, then 3 and 126,815,888.3333 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:

1 380,447,665
-1 -380,447,665

Let's try dividing by 4:

380,447,665 ÷ 4 = 95,111,916.25

If the quotient is a whole number, then 4 and 95,111,916.25 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:

1 380,447,665
-1 380,447,665
Keep dividing by the next highest number until you cannot divide anymore.

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

151329651453771,885201,8291,009,1452,623,7775,853,04113,118,88529,265,20576,089,533380,447,665
-1-5-13-29-65-145-377-1,885-201,829-1,009,145-2,623,777-5,853,041-13,118,885-29,265,205-76,089,533-380,447,665

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