Q: What are the factor combinations of the number 8,398,901?

 A:
Positive:   1 x 83989017 x 119984317 x 494053119 x 70579163 x 51527433 x 193971141 x 73612771 x 3031
Negative: -1 x -8398901-7 x -1199843-17 x -494053-119 x -70579-163 x -51527-433 x -19397-1141 x -7361-2771 x -3031


How do I find the factor combinations of the number 8,398,901?

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 8,398,901, 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 8,398,901
-1 -8,398,901

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 8,398,901.

Example:
1 x 8,398,901 = 8,398,901
and
-1 x -8,398,901 = 8,398,901
Notice both answers equal 8,398,901

With that explanation out of the way, let's continue. Next, we take the number 8,398,901 and divide it by 2:

8,398,901 ÷ 2 = 4,199,450.5

If the quotient is a whole number, then 2 and 4,199,450.5 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 8,398,901
-1 -8,398,901

Now, we try dividing 8,398,901 by 3:

8,398,901 ÷ 3 = 2,799,633.6667

If the quotient is a whole number, then 3 and 2,799,633.6667 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 8,398,901
-1 -8,398,901

Let's try dividing by 4:

8,398,901 ÷ 4 = 2,099,725.25

If the quotient is a whole number, then 4 and 2,099,725.25 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 8,398,901
-1 8,398,901
Keep dividing by the next highest number until you cannot divide anymore.

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

17171191634331,1412,7713,0317,36119,39751,52770,579494,0531,199,8438,398,901
-1-7-17-119-163-433-1,141-2,771-3,031-7,361-19,397-51,527-70,579-494,053-1,199,843-8,398,901

More Examples

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