Q: What are the factor combinations of the number 5,200,555?

 A:
Positive:   1 x 52005555 x 104011117 x 30591559 x 8814561 x 8525585 x 61183289 x 17995295 x 17629305 x 170511003 x 51851037 x 50151445 x 3599
Negative: -1 x -5200555-5 x -1040111-17 x -305915-59 x -88145-61 x -85255-85 x -61183-289 x -17995-295 x -17629-305 x -17051-1003 x -5185-1037 x -5015-1445 x -3599


How do I find the factor combinations of the number 5,200,555?

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 5,200,555, 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 5,200,555
-1 -5,200,555

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 5,200,555.

Example:
1 x 5,200,555 = 5,200,555
and
-1 x -5,200,555 = 5,200,555
Notice both answers equal 5,200,555

With that explanation out of the way, let's continue. Next, we take the number 5,200,555 and divide it by 2:

5,200,555 ÷ 2 = 2,600,277.5

If the quotient is a whole number, then 2 and 2,600,277.5 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 5,200,555
-1 -5,200,555

Now, we try dividing 5,200,555 by 3:

5,200,555 ÷ 3 = 1,733,518.3333

If the quotient is a whole number, then 3 and 1,733,518.3333 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 5,200,555
-1 -5,200,555

Let's try dividing by 4:

5,200,555 ÷ 4 = 1,300,138.75

If the quotient is a whole number, then 4 and 1,300,138.75 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 5,200,555
-1 5,200,555
Keep dividing by the next highest number until you cannot divide anymore.

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

15175961852892953051,0031,0371,4453,5995,0155,18517,05117,62917,99561,18385,25588,145305,9151,040,1115,200,555
-1-5-17-59-61-85-289-295-305-1,003-1,037-1,445-3,599-5,015-5,185-17,051-17,629-17,995-61,183-85,255-88,145-305,915-1,040,111-5,200,555

More Examples

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