Q: What are the factor combinations of the number 1,660,015?

 A:
Positive:   1 x 16600155 x 3320037 x 23714535 x 4742943 x 38605215 x 7721301 x 55151103 x 1505
Negative: -1 x -1660015-5 x -332003-7 x -237145-35 x -47429-43 x -38605-215 x -7721-301 x -5515-1103 x -1505


How do I find the factor combinations of the number 1,660,015?

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 1,660,015, 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 1,660,015
-1 -1,660,015

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 1,660,015.

Example:
1 x 1,660,015 = 1,660,015
and
-1 x -1,660,015 = 1,660,015
Notice both answers equal 1,660,015

With that explanation out of the way, let's continue. Next, we take the number 1,660,015 and divide it by 2:

1,660,015 ÷ 2 = 830,007.5

If the quotient is a whole number, then 2 and 830,007.5 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 1,660,015
-1 -1,660,015

Now, we try dividing 1,660,015 by 3:

1,660,015 ÷ 3 = 553,338.3333

If the quotient is a whole number, then 3 and 553,338.3333 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 1,660,015
-1 -1,660,015

Let's try dividing by 4:

1,660,015 ÷ 4 = 415,003.75

If the quotient is a whole number, then 4 and 415,003.75 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 1,660,015
-1 1,660,015
Keep dividing by the next highest number until you cannot divide anymore.

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

15735432153011,1031,5055,5157,72138,60547,429237,145332,0031,660,015
-1-5-7-35-43-215-301-1,103-1,505-5,515-7,721-38,605-47,429-237,145-332,003-1,660,015

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 1,660,015:


Ask a Question