Q: What are the factor combinations of the number 33,321,001?

 A:
Positive:   1 x 333210017 x 476014331 x 107487143 x 774907217 x 153553301 x 1107011333 x 249973571 x 9331
Negative: -1 x -33321001-7 x -4760143-31 x -1074871-43 x -774907-217 x -153553-301 x -110701-1333 x -24997-3571 x -9331


How do I find the factor combinations of the number 33,321,001?

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 33,321,001, 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 33,321,001
-1 -33,321,001

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 33,321,001.

Example:
1 x 33,321,001 = 33,321,001
and
-1 x -33,321,001 = 33,321,001
Notice both answers equal 33,321,001

With that explanation out of the way, let's continue. Next, we take the number 33,321,001 and divide it by 2:

33,321,001 ÷ 2 = 16,660,500.5

If the quotient is a whole number, then 2 and 16,660,500.5 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 33,321,001
-1 -33,321,001

Now, we try dividing 33,321,001 by 3:

33,321,001 ÷ 3 = 11,107,000.3333

If the quotient is a whole number, then 3 and 11,107,000.3333 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 33,321,001
-1 -33,321,001

Let's try dividing by 4:

33,321,001 ÷ 4 = 8,330,250.25

If the quotient is a whole number, then 4 and 8,330,250.25 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 33,321,001
-1 33,321,001
Keep dividing by the next highest number until you cannot divide anymore.

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

1731432173011,3333,5719,33124,997110,701153,553774,9071,074,8714,760,14333,321,001
-1-7-31-43-217-301-1,333-3,571-9,331-24,997-110,701-153,553-774,907-1,074,871-4,760,143-33,321,001

More Examples

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