Q: What are the factor combinations of the number 5,001,655?

 A:
Positive:   1 x 50016555 x 100033117 x 29421519 x 26324585 x 5884395 x 52649163 x 30685323 x 15485361 x 13855815 x 61371615 x 30971805 x 2771
Negative: -1 x -5001655-5 x -1000331-17 x -294215-19 x -263245-85 x -58843-95 x -52649-163 x -30685-323 x -15485-361 x -13855-815 x -6137-1615 x -3097-1805 x -2771


How do I find the factor combinations of the number 5,001,655?

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 5,001,655, 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 5,001,655
-1 -5,001,655

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 5,001,655.

Example:
1 x 5,001,655 = 5,001,655
and
-1 x -5,001,655 = 5,001,655
Notice both answers equal 5,001,655

With that explanation out of the way, let's continue. Next, we take the number 5,001,655 and divide it by 2:

5,001,655 ÷ 2 = 2,500,827.5

If the quotient is a whole number, then 2 and 2,500,827.5 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 5,001,655
-1 -5,001,655

Now, we try dividing 5,001,655 by 3:

5,001,655 ÷ 3 = 1,667,218.3333

If the quotient is a whole number, then 3 and 1,667,218.3333 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 5,001,655
-1 -5,001,655

Let's try dividing by 4:

5,001,655 ÷ 4 = 1,250,413.75

If the quotient is a whole number, then 4 and 1,250,413.75 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 5,001,655
-1 5,001,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15171985951633233618151,6151,8052,7713,0976,13713,85515,48530,68552,64958,843263,245294,2151,000,3315,001,655
-1-5-17-19-85-95-163-323-361-815-1,615-1,805-2,771-3,097-6,137-13,855-15,485-30,685-52,649-58,843-263,245-294,215-1,000,331-5,001,655

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