Q: What are the factor combinations of the number 13,250,255?

 A:
Positive:   1 x 132502555 x 265005137 x 35811567 x 197765185 x 71623335 x 395531069 x 123952479 x 5345
Negative: -1 x -13250255-5 x -2650051-37 x -358115-67 x -197765-185 x -71623-335 x -39553-1069 x -12395-2479 x -5345


How do I find the factor combinations of the number 13,250,255?

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 13,250,255, 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 13,250,255
-1 -13,250,255

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 13,250,255.

Example:
1 x 13,250,255 = 13,250,255
and
-1 x -13,250,255 = 13,250,255
Notice both answers equal 13,250,255

With that explanation out of the way, let's continue. Next, we take the number 13,250,255 and divide it by 2:

13,250,255 ÷ 2 = 6,625,127.5

If the quotient is a whole number, then 2 and 6,625,127.5 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 13,250,255
-1 -13,250,255

Now, we try dividing 13,250,255 by 3:

13,250,255 ÷ 3 = 4,416,751.6667

If the quotient is a whole number, then 3 and 4,416,751.6667 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 13,250,255
-1 -13,250,255

Let's try dividing by 4:

13,250,255 ÷ 4 = 3,312,563.75

If the quotient is a whole number, then 4 and 3,312,563.75 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 13,250,255
-1 13,250,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1537671853351,0692,4795,34512,39539,55371,623197,765358,1152,650,05113,250,255
-1-5-37-67-185-335-1,069-2,479-5,345-12,395-39,553-71,623-197,765-358,115-2,650,051-13,250,255

More Examples

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