Q: What are the factor combinations of the number 5,332,775?

 A:
Positive:   1 x 53327755 x 10665557 x 76182525 x 21331131 x 17202535 x 152365155 x 34405175 x 30473217 x 24575775 x 6881983 x 54251085 x 4915
Negative: -1 x -5332775-5 x -1066555-7 x -761825-25 x -213311-31 x -172025-35 x -152365-155 x -34405-175 x -30473-217 x -24575-775 x -6881-983 x -5425-1085 x -4915


How do I find the factor combinations of the number 5,332,775?

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 5,332,775, 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 5,332,775
-1 -5,332,775

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 5,332,775.

Example:
1 x 5,332,775 = 5,332,775
and
-1 x -5,332,775 = 5,332,775
Notice both answers equal 5,332,775

With that explanation out of the way, let's continue. Next, we take the number 5,332,775 and divide it by 2:

5,332,775 ÷ 2 = 2,666,387.5

If the quotient is a whole number, then 2 and 2,666,387.5 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 5,332,775
-1 -5,332,775

Now, we try dividing 5,332,775 by 3:

5,332,775 ÷ 3 = 1,777,591.6667

If the quotient is a whole number, then 3 and 1,777,591.6667 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 5,332,775
-1 -5,332,775

Let's try dividing by 4:

5,332,775 ÷ 4 = 1,333,193.75

If the quotient is a whole number, then 4 and 1,333,193.75 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 5,332,775
-1 5,332,775
Keep dividing by the next highest number until you cannot divide anymore.

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

1572531351551752177759831,0854,9155,4256,88124,57530,47334,405152,365172,025213,311761,8251,066,5555,332,775
-1-5-7-25-31-35-155-175-217-775-983-1,085-4,915-5,425-6,881-24,575-30,473-34,405-152,365-172,025-213,311-761,825-1,066,555-5,332,775

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