Q: What are the factor combinations of the number 2,001,335?

 A:
Positive:   1 x 20013355 x 4002677 x 28590535 x 57181211 x 9485271 x 73851055 x 18971355 x 1477
Negative: -1 x -2001335-5 x -400267-7 x -285905-35 x -57181-211 x -9485-271 x -7385-1055 x -1897-1355 x -1477


How do I find the factor combinations of the number 2,001,335?

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 2,001,335, 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 2,001,335
-1 -2,001,335

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 2,001,335.

Example:
1 x 2,001,335 = 2,001,335
and
-1 x -2,001,335 = 2,001,335
Notice both answers equal 2,001,335

With that explanation out of the way, let's continue. Next, we take the number 2,001,335 and divide it by 2:

2,001,335 ÷ 2 = 1,000,667.5

If the quotient is a whole number, then 2 and 1,000,667.5 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 2,001,335
-1 -2,001,335

Now, we try dividing 2,001,335 by 3:

2,001,335 ÷ 3 = 667,111.6667

If the quotient is a whole number, then 3 and 667,111.6667 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 2,001,335
-1 -2,001,335

Let's try dividing by 4:

2,001,335 ÷ 4 = 500,333.75

If the quotient is a whole number, then 4 and 500,333.75 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 2,001,335
-1 2,001,335
Keep dividing by the next highest number until you cannot divide anymore.

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

157352112711,0551,3551,4771,8977,3859,48557,181285,905400,2672,001,335
-1-5-7-35-211-271-1,055-1,355-1,477-1,897-7,385-9,485-57,181-285,905-400,267-2,001,335

More Examples

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