Q: What are the factor combinations of the number 8,901,659?

 A:
Positive:   1 x 890165913 x 68474317 x 52362747 x 189397221 x 40279611 x 14569799 x 11141857 x 10387
Negative: -1 x -8901659-13 x -684743-17 x -523627-47 x -189397-221 x -40279-611 x -14569-799 x -11141-857 x -10387


How do I find the factor combinations of the number 8,901,659?

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 8,901,659, 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 8,901,659
-1 -8,901,659

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 8,901,659.

Example:
1 x 8,901,659 = 8,901,659
and
-1 x -8,901,659 = 8,901,659
Notice both answers equal 8,901,659

With that explanation out of the way, let's continue. Next, we take the number 8,901,659 and divide it by 2:

8,901,659 ÷ 2 = 4,450,829.5

If the quotient is a whole number, then 2 and 4,450,829.5 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 8,901,659
-1 -8,901,659

Now, we try dividing 8,901,659 by 3:

8,901,659 ÷ 3 = 2,967,219.6667

If the quotient is a whole number, then 3 and 2,967,219.6667 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 8,901,659
-1 -8,901,659

Let's try dividing by 4:

8,901,659 ÷ 4 = 2,225,414.75

If the quotient is a whole number, then 4 and 2,225,414.75 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 8,901,659
-1 8,901,659
Keep dividing by the next highest number until you cannot divide anymore.

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

113174722161179985710,38711,14114,56940,279189,397523,627684,7438,901,659
-1-13-17-47-221-611-799-857-10,387-11,141-14,569-40,279-189,397-523,627-684,743-8,901,659

More Examples

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