Q: What are the factor combinations of the number 608,147,015?

 A:
Positive:   1 x 6081470155 x 1216294037 x 8687814535 x 17375629523 x 11628052615 x 2325613661 x 16611518305 x 33223
Negative: -1 x -608147015-5 x -121629403-7 x -86878145-35 x -17375629-523 x -1162805-2615 x -232561-3661 x -166115-18305 x -33223


How do I find the factor combinations of the number 608,147,015?

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 608,147,015, 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.

1 608,147,015
-1 -608,147,015

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 608,147,015.

Example:
1 x 608,147,015 = 608,147,015
and
-1 x -608,147,015 = 608,147,015
Notice both answers equal 608,147,015

With that explanation out of the way, let's continue. Next, we take the number 608,147,015 and divide it by 2:

608,147,015 ÷ 2 = 304,073,507.5

If the quotient is a whole number, then 2 and 304,073,507.5 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:

1 608,147,015
-1 -608,147,015

Now, we try dividing 608,147,015 by 3:

608,147,015 ÷ 3 = 202,715,671.6667

If the quotient is a whole number, then 3 and 202,715,671.6667 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:

1 608,147,015
-1 -608,147,015

Let's try dividing by 4:

608,147,015 ÷ 4 = 152,036,753.75

If the quotient is a whole number, then 4 and 152,036,753.75 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:

1 608,147,015
-1 608,147,015
Keep dividing by the next highest number until you cannot divide anymore.

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

157355232,6153,66118,30533,223166,115232,5611,162,80517,375,62986,878,145121,629,403608,147,015
-1-5-7-35-523-2,615-3,661-18,305-33,223-166,115-232,561-1,162,805-17,375,629-86,878,145-121,629,403-608,147,015

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