Q: What are the factor combinations of the number 320,011,027?

 A:
Positive:   1 x 3200110277 x 4571586129 x 1103486341 x 7805147203 x 1576409287 x 11150211189 x 2691438323 x 38449
Negative: -1 x -320011027-7 x -45715861-29 x -11034863-41 x -7805147-203 x -1576409-287 x -1115021-1189 x -269143-8323 x -38449


How do I find the factor combinations of the number 320,011,027?

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 320,011,027, 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.

1 320,011,027
-1 -320,011,027

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 320,011,027.

Example:
1 x 320,011,027 = 320,011,027
and
-1 x -320,011,027 = 320,011,027
Notice both answers equal 320,011,027

With that explanation out of the way, let's continue. Next, we take the number 320,011,027 and divide it by 2:

320,011,027 ÷ 2 = 160,005,513.5

If the quotient is a whole number, then 2 and 160,005,513.5 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:

1 320,011,027
-1 -320,011,027

Now, we try dividing 320,011,027 by 3:

320,011,027 ÷ 3 = 106,670,342.3333

If the quotient is a whole number, then 3 and 106,670,342.3333 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:

1 320,011,027
-1 -320,011,027

Let's try dividing by 4:

320,011,027 ÷ 4 = 80,002,756.75

If the quotient is a whole number, then 4 and 80,002,756.75 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:

1 320,011,027
-1 320,011,027
Keep dividing by the next highest number until you cannot divide anymore.

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

1729412032871,1898,32338,449269,1431,115,0211,576,4097,805,14711,034,86345,715,861320,011,027
-1-7-29-41-203-287-1,189-8,323-38,449-269,143-1,115,021-1,576,409-7,805,147-11,034,863-45,715,861-320,011,027

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