Q: What are the factor combinations of the number 381,178,889?

 A:
Positive:   1 x 3811788897 x 5445412713 x 2932145349 x 777916191 x 4188779179 x 2129491637 x 5983971253 x 3042132327 x 1638073343 x 1140238771 x 4345916289 x 23401
Negative: -1 x -381178889-7 x -54454127-13 x -29321453-49 x -7779161-91 x -4188779-179 x -2129491-637 x -598397-1253 x -304213-2327 x -163807-3343 x -114023-8771 x -43459-16289 x -23401


How do I find the factor combinations of the number 381,178,889?

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 381,178,889, 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.

1 381,178,889
-1 -381,178,889

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 381,178,889.

Example:
1 x 381,178,889 = 381,178,889
and
-1 x -381,178,889 = 381,178,889
Notice both answers equal 381,178,889

With that explanation out of the way, let's continue. Next, we take the number 381,178,889 and divide it by 2:

381,178,889 ÷ 2 = 190,589,444.5

If the quotient is a whole number, then 2 and 190,589,444.5 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:

1 381,178,889
-1 -381,178,889

Now, we try dividing 381,178,889 by 3:

381,178,889 ÷ 3 = 127,059,629.6667

If the quotient is a whole number, then 3 and 127,059,629.6667 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:

1 381,178,889
-1 -381,178,889

Let's try dividing by 4:

381,178,889 ÷ 4 = 95,294,722.25

If the quotient is a whole number, then 4 and 95,294,722.25 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:

1 381,178,889
-1 381,178,889
Keep dividing by the next highest number until you cannot divide anymore.

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

171349911796371,2532,3273,3438,77116,28923,40143,459114,023163,807304,213598,3972,129,4914,188,7797,779,16129,321,45354,454,127381,178,889
-1-7-13-49-91-179-637-1,253-2,327-3,343-8,771-16,289-23,401-43,459-114,023-163,807-304,213-598,397-2,129,491-4,188,779-7,779,161-29,321,453-54,454,127-381,178,889

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