Q: What are the factor combinations of the number 320,211,001?

 A:
Positive:   1 x 32021100111 x 2911009153 x 6041717583 x 549247
Negative: -1 x -320211001-11 x -29110091-53 x -6041717-583 x -549247


How do I find the factor combinations of the number 320,211,001?

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 320,211,001, 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.

1 320,211,001
-1 -320,211,001

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 320,211,001.

Example:
1 x 320,211,001 = 320,211,001
and
-1 x -320,211,001 = 320,211,001
Notice both answers equal 320,211,001

With that explanation out of the way, let's continue. Next, we take the number 320,211,001 and divide it by 2:

320,211,001 ÷ 2 = 160,105,500.5

If the quotient is a whole number, then 2 and 160,105,500.5 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:

1 320,211,001
-1 -320,211,001

Now, we try dividing 320,211,001 by 3:

320,211,001 ÷ 3 = 106,737,000.3333

If the quotient is a whole number, then 3 and 106,737,000.3333 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:

1 320,211,001
-1 -320,211,001

Let's try dividing by 4:

320,211,001 ÷ 4 = 80,052,750.25

If the quotient is a whole number, then 4 and 80,052,750.25 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:

1 320,211,001
-1 320,211,001
Keep dividing by the next highest number until you cannot divide anymore.

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

11153583549,2476,041,71729,110,091320,211,001
-1-11-53-583-549,247-6,041,717-29,110,091-320,211,001

More Examples

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