Q: What are the factor combinations of the number 616,014,301?

 A:
Positive:   1 x 6160143017 x 8800204389 x 6921509107 x 5757143623 x 988787749 x 8224499241 x 666619523 x 64687
Negative: -1 x -616014301-7 x -88002043-89 x -6921509-107 x -5757143-623 x -988787-749 x -822449-9241 x -66661-9523 x -64687


How do I find the factor combinations of the number 616,014,301?

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 616,014,301, 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.

1 616,014,301
-1 -616,014,301

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 616,014,301.

Example:
1 x 616,014,301 = 616,014,301
and
-1 x -616,014,301 = 616,014,301
Notice both answers equal 616,014,301

With that explanation out of the way, let's continue. Next, we take the number 616,014,301 and divide it by 2:

616,014,301 ÷ 2 = 308,007,150.5

If the quotient is a whole number, then 2 and 308,007,150.5 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:

1 616,014,301
-1 -616,014,301

Now, we try dividing 616,014,301 by 3:

616,014,301 ÷ 3 = 205,338,100.3333

If the quotient is a whole number, then 3 and 205,338,100.3333 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:

1 616,014,301
-1 -616,014,301

Let's try dividing by 4:

616,014,301 ÷ 4 = 154,003,575.25

If the quotient is a whole number, then 4 and 154,003,575.25 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:

1 616,014,301
-1 616,014,301
Keep dividing by the next highest number until you cannot divide anymore.

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

17891076237499,2419,52364,68766,661822,449988,7875,757,1436,921,50988,002,043616,014,301
-1-7-89-107-623-749-9,241-9,523-64,687-66,661-822,449-988,787-5,757,143-6,921,509-88,002,043-616,014,301

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