Q: What are the factor combinations of the number 2,006,165?

 A:
Positive:   1 x 20061655 x 4012337 x 28659531 x 6471535 x 5731943 x 46655155 x 12943215 x 9331217 x 9245301 x 66651085 x 18491333 x 1505
Negative: -1 x -2006165-5 x -401233-7 x -286595-31 x -64715-35 x -57319-43 x -46655-155 x -12943-215 x -9331-217 x -9245-301 x -6665-1085 x -1849-1333 x -1505


How do I find the factor combinations of the number 2,006,165?

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 2,006,165, 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 2,006,165
-1 -2,006,165

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 2,006,165.

Example:
1 x 2,006,165 = 2,006,165
and
-1 x -2,006,165 = 2,006,165
Notice both answers equal 2,006,165

With that explanation out of the way, let's continue. Next, we take the number 2,006,165 and divide it by 2:

2,006,165 ÷ 2 = 1,003,082.5

If the quotient is a whole number, then 2 and 1,003,082.5 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 2,006,165
-1 -2,006,165

Now, we try dividing 2,006,165 by 3:

2,006,165 ÷ 3 = 668,721.6667

If the quotient is a whole number, then 3 and 668,721.6667 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 2,006,165
-1 -2,006,165

Let's try dividing by 4:

2,006,165 ÷ 4 = 501,541.25

If the quotient is a whole number, then 4 and 501,541.25 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 2,006,165
-1 2,006,165
Keep dividing by the next highest number until you cannot divide anymore.

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

1573135431552152173011,0851,3331,5051,8496,6659,2459,33112,94346,65557,31964,715286,595401,2332,006,165
-1-5-7-31-35-43-155-215-217-301-1,085-1,333-1,505-1,849-6,665-9,245-9,331-12,943-46,655-57,319-64,715-286,595-401,233-2,006,165

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 2,006,165:


Ask a Question