Q: What are the factor combinations of the number 8,521,505?

 A:
Positive:   1 x 85215055 x 170430117 x 50126529 x 29384585 x 100253145 x 58769493 x 172852465 x 3457
Negative: -1 x -8521505-5 x -1704301-17 x -501265-29 x -293845-85 x -100253-145 x -58769-493 x -17285-2465 x -3457


How do I find the factor combinations of the number 8,521,505?

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 8,521,505, 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 8,521,505
-1 -8,521,505

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 8,521,505.

Example:
1 x 8,521,505 = 8,521,505
and
-1 x -8,521,505 = 8,521,505
Notice both answers equal 8,521,505

With that explanation out of the way, let's continue. Next, we take the number 8,521,505 and divide it by 2:

8,521,505 ÷ 2 = 4,260,752.5

If the quotient is a whole number, then 2 and 4,260,752.5 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 8,521,505
-1 -8,521,505

Now, we try dividing 8,521,505 by 3:

8,521,505 ÷ 3 = 2,840,501.6667

If the quotient is a whole number, then 3 and 2,840,501.6667 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 8,521,505
-1 -8,521,505

Let's try dividing by 4:

8,521,505 ÷ 4 = 2,130,376.25

If the quotient is a whole number, then 4 and 2,130,376.25 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 8,521,505
-1 8,521,505
Keep dividing by the next highest number until you cannot divide anymore.

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

151729851454932,4653,45717,28558,769100,253293,845501,2651,704,3018,521,505
-1-5-17-29-85-145-493-2,465-3,457-17,285-58,769-100,253-293,845-501,265-1,704,301-8,521,505

More Examples

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