Q: What are the factor combinations of the number 357,356,167?

 A:
Positive:   1 x 3573561677 x 5105088117 x 2102095149 x 7292983119 x 3002993421 x 848827833 x 4289991019 x 3506932947 x 1212617133 x 500997157 x 4993117323 x 20629
Negative: -1 x -357356167-7 x -51050881-17 x -21020951-49 x -7292983-119 x -3002993-421 x -848827-833 x -428999-1019 x -350693-2947 x -121261-7133 x -50099-7157 x -49931-17323 x -20629


How do I find the factor combinations of the number 357,356,167?

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 357,356,167, 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.

1 357,356,167
-1 -357,356,167

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 357,356,167.

Example:
1 x 357,356,167 = 357,356,167
and
-1 x -357,356,167 = 357,356,167
Notice both answers equal 357,356,167

With that explanation out of the way, let's continue. Next, we take the number 357,356,167 and divide it by 2:

357,356,167 ÷ 2 = 178,678,083.5

If the quotient is a whole number, then 2 and 178,678,083.5 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:

1 357,356,167
-1 -357,356,167

Now, we try dividing 357,356,167 by 3:

357,356,167 ÷ 3 = 119,118,722.3333

If the quotient is a whole number, then 3 and 119,118,722.3333 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:

1 357,356,167
-1 -357,356,167

Let's try dividing by 4:

357,356,167 ÷ 4 = 89,339,041.75

If the quotient is a whole number, then 4 and 89,339,041.75 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:

1 357,356,167
-1 357,356,167
Keep dividing by the next highest number until you cannot divide anymore.

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

1717491194218331,0192,9477,1337,15717,32320,62949,93150,099121,261350,693428,999848,8273,002,9937,292,98321,020,95151,050,881357,356,167
-1-7-17-49-119-421-833-1,019-2,947-7,133-7,157-17,323-20,629-49,931-50,099-121,261-350,693-428,999-848,827-3,002,993-7,292,983-21,020,951-51,050,881-357,356,167

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