Q: What are the factor combinations of the number 322,011,001?

 A:
Positive:   1 x 32201100113 x 247700774027 x 799636151 x 52351
Negative: -1 x -322011001-13 x -24770077-4027 x -79963-6151 x -52351


How do I find the factor combinations of the number 322,011,001?

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 322,011,001, 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.

1 322,011,001
-1 -322,011,001

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 322,011,001.

Example:
1 x 322,011,001 = 322,011,001
and
-1 x -322,011,001 = 322,011,001
Notice both answers equal 322,011,001

With that explanation out of the way, let's continue. Next, we take the number 322,011,001 and divide it by 2:

322,011,001 ÷ 2 = 161,005,500.5

If the quotient is a whole number, then 2 and 161,005,500.5 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:

1 322,011,001
-1 -322,011,001

Now, we try dividing 322,011,001 by 3:

322,011,001 ÷ 3 = 107,337,000.3333

If the quotient is a whole number, then 3 and 107,337,000.3333 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:

1 322,011,001
-1 -322,011,001

Let's try dividing by 4:

322,011,001 ÷ 4 = 80,502,750.25

If the quotient is a whole number, then 4 and 80,502,750.25 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:

1 322,011,001
-1 322,011,001
Keep dividing by the next highest number until you cannot divide anymore.

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

1134,0276,15152,35179,96324,770,077322,011,001
-1-13-4,027-6,151-52,351-79,963-24,770,077-322,011,001

More Examples

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