Q: What are the factor combinations of the number 5,220,655?

 A:
Positive:   1 x 52206555 x 104413111 x 47460523 x 22698555 x 94921115 x 45397253 x 206351265 x 4127
Negative: -1 x -5220655-5 x -1044131-11 x -474605-23 x -226985-55 x -94921-115 x -45397-253 x -20635-1265 x -4127


How do I find the factor combinations of the number 5,220,655?

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 5,220,655, 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 5,220,655
-1 -5,220,655

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 5,220,655.

Example:
1 x 5,220,655 = 5,220,655
and
-1 x -5,220,655 = 5,220,655
Notice both answers equal 5,220,655

With that explanation out of the way, let's continue. Next, we take the number 5,220,655 and divide it by 2:

5,220,655 ÷ 2 = 2,610,327.5

If the quotient is a whole number, then 2 and 2,610,327.5 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 5,220,655
-1 -5,220,655

Now, we try dividing 5,220,655 by 3:

5,220,655 ÷ 3 = 1,740,218.3333

If the quotient is a whole number, then 3 and 1,740,218.3333 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 5,220,655
-1 -5,220,655

Let's try dividing by 4:

5,220,655 ÷ 4 = 1,305,163.75

If the quotient is a whole number, then 4 and 1,305,163.75 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 5,220,655
-1 5,220,655
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152531,2654,12720,63545,39794,921226,985474,6051,044,1315,220,655
-1-5-11-23-55-115-253-1,265-4,127-20,635-45,397-94,921-226,985-474,605-1,044,131-5,220,655

More Examples

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