Q: What are the factor combinations of the number 308,177,417?

 A:
Positive:   1 x 30817741731 x 994120771 x 4340527163 x 1890659859 x 3587632201 x 1400175053 x 6098911573 x 26629
Negative: -1 x -308177417-31 x -9941207-71 x -4340527-163 x -1890659-859 x -358763-2201 x -140017-5053 x -60989-11573 x -26629


How do I find the factor combinations of the number 308,177,417?

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 308,177,417, 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.

1 308,177,417
-1 -308,177,417

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 308,177,417.

Example:
1 x 308,177,417 = 308,177,417
and
-1 x -308,177,417 = 308,177,417
Notice both answers equal 308,177,417

With that explanation out of the way, let's continue. Next, we take the number 308,177,417 and divide it by 2:

308,177,417 ÷ 2 = 154,088,708.5

If the quotient is a whole number, then 2 and 154,088,708.5 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:

1 308,177,417
-1 -308,177,417

Now, we try dividing 308,177,417 by 3:

308,177,417 ÷ 3 = 102,725,805.6667

If the quotient is a whole number, then 3 and 102,725,805.6667 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:

1 308,177,417
-1 -308,177,417

Let's try dividing by 4:

308,177,417 ÷ 4 = 77,044,354.25

If the quotient is a whole number, then 4 and 77,044,354.25 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:

1 308,177,417
-1 308,177,417
Keep dividing by the next highest number until you cannot divide anymore.

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

131711638592,2015,05311,57326,62960,989140,017358,7631,890,6594,340,5279,941,207308,177,417
-1-31-71-163-859-2,201-5,053-11,573-26,629-60,989-140,017-358,763-1,890,659-4,340,527-9,941,207-308,177,417

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