Q: What are the factor combinations of the number 3,803,855?

 A:
Positive:   1 x 38038555 x 76077111 x 34580523 x 16538531 x 12270555 x 6916197 x 39215115 x 33077155 x 24541253 x 15035341 x 11155485 x 7843713 x 53351067 x 35651265 x 30071705 x 2231
Negative: -1 x -3803855-5 x -760771-11 x -345805-23 x -165385-31 x -122705-55 x -69161-97 x -39215-115 x -33077-155 x -24541-253 x -15035-341 x -11155-485 x -7843-713 x -5335-1067 x -3565-1265 x -3007-1705 x -2231


How do I find the factor combinations of the number 3,803,855?

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 3,803,855, 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 3,803,855
-1 -3,803,855

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 3,803,855.

Example:
1 x 3,803,855 = 3,803,855
and
-1 x -3,803,855 = 3,803,855
Notice both answers equal 3,803,855

With that explanation out of the way, let's continue. Next, we take the number 3,803,855 and divide it by 2:

3,803,855 ÷ 2 = 1,901,927.5

If the quotient is a whole number, then 2 and 1,901,927.5 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 3,803,855
-1 -3,803,855

Now, we try dividing 3,803,855 by 3:

3,803,855 ÷ 3 = 1,267,951.6667

If the quotient is a whole number, then 3 and 1,267,951.6667 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 3,803,855
-1 -3,803,855

Let's try dividing by 4:

3,803,855 ÷ 4 = 950,963.75

If the quotient is a whole number, then 4 and 950,963.75 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 3,803,855
-1 3,803,855
Keep dividing by the next highest number until you cannot divide anymore.

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

1511233155971151552533414857131,0671,2651,7052,2313,0073,5655,3357,84311,15515,03524,54133,07739,21569,161122,705165,385345,805760,7713,803,855
-1-5-11-23-31-55-97-115-155-253-341-485-713-1,067-1,265-1,705-2,231-3,007-3,565-5,335-7,843-11,155-15,035-24,541-33,077-39,215-69,161-122,705-165,385-345,805-760,771-3,803,855

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