Q: What are the factor combinations of the number 8,501,255?

 A:
Positive:   1 x 85012555 x 17002517 x 121446535 x 24289349 x 173495245 x 34699343 x 247851715 x 4957
Negative: -1 x -8501255-5 x -1700251-7 x -1214465-35 x -242893-49 x -173495-245 x -34699-343 x -24785-1715 x -4957


How do I find the factor combinations of the number 8,501,255?

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 8,501,255, 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 8,501,255
-1 -8,501,255

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 8,501,255.

Example:
1 x 8,501,255 = 8,501,255
and
-1 x -8,501,255 = 8,501,255
Notice both answers equal 8,501,255

With that explanation out of the way, let's continue. Next, we take the number 8,501,255 and divide it by 2:

8,501,255 ÷ 2 = 4,250,627.5

If the quotient is a whole number, then 2 and 4,250,627.5 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 8,501,255
-1 -8,501,255

Now, we try dividing 8,501,255 by 3:

8,501,255 ÷ 3 = 2,833,751.6667

If the quotient is a whole number, then 3 and 2,833,751.6667 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 8,501,255
-1 -8,501,255

Let's try dividing by 4:

8,501,255 ÷ 4 = 2,125,313.75

If the quotient is a whole number, then 4 and 2,125,313.75 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 8,501,255
-1 8,501,255
Keep dividing by the next highest number until you cannot divide anymore.

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

15735492453431,7154,95724,78534,699173,495242,8931,214,4651,700,2518,501,255
-1-5-7-35-49-245-343-1,715-4,957-24,785-34,699-173,495-242,893-1,214,465-1,700,251-8,501,255

More Examples

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