Q: What are the factor combinations of the number 4,012,021?

 A:
Positive:   1 x 401202113 x 30861719 x 21115937 x 108433247 x 16243439 x 9139481 x 8341703 x 5707
Negative: -1 x -4012021-13 x -308617-19 x -211159-37 x -108433-247 x -16243-439 x -9139-481 x -8341-703 x -5707


How do I find the factor combinations of the number 4,012,021?

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 4,012,021, 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 4,012,021
-1 -4,012,021

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 4,012,021.

Example:
1 x 4,012,021 = 4,012,021
and
-1 x -4,012,021 = 4,012,021
Notice both answers equal 4,012,021

With that explanation out of the way, let's continue. Next, we take the number 4,012,021 and divide it by 2:

4,012,021 ÷ 2 = 2,006,010.5

If the quotient is a whole number, then 2 and 2,006,010.5 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 4,012,021
-1 -4,012,021

Now, we try dividing 4,012,021 by 3:

4,012,021 ÷ 3 = 1,337,340.3333

If the quotient is a whole number, then 3 and 1,337,340.3333 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 4,012,021
-1 -4,012,021

Let's try dividing by 4:

4,012,021 ÷ 4 = 1,003,005.25

If the quotient is a whole number, then 4 and 1,003,005.25 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 4,012,021
-1 4,012,021
Keep dividing by the next highest number until you cannot divide anymore.

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

11319372474394817035,7078,3419,13916,243108,433211,159308,6174,012,021
-1-13-19-37-247-439-481-703-5,707-8,341-9,139-16,243-108,433-211,159-308,617-4,012,021

More Examples

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