Q: What are the factor combinations of the number 12,013,235?

 A:
Positive:   1 x 120132355 x 240264713 x 92409565 x 184819421 x 28535439 x 273652105 x 57072195 x 5473
Negative: -1 x -12013235-5 x -2402647-13 x -924095-65 x -184819-421 x -28535-439 x -27365-2105 x -5707-2195 x -5473


How do I find the factor combinations of the number 12,013,235?

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 12,013,235, 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 12,013,235
-1 -12,013,235

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 12,013,235.

Example:
1 x 12,013,235 = 12,013,235
and
-1 x -12,013,235 = 12,013,235
Notice both answers equal 12,013,235

With that explanation out of the way, let's continue. Next, we take the number 12,013,235 and divide it by 2:

12,013,235 ÷ 2 = 6,006,617.5

If the quotient is a whole number, then 2 and 6,006,617.5 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 12,013,235
-1 -12,013,235

Now, we try dividing 12,013,235 by 3:

12,013,235 ÷ 3 = 4,004,411.6667

If the quotient is a whole number, then 3 and 4,004,411.6667 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 12,013,235
-1 -12,013,235

Let's try dividing by 4:

12,013,235 ÷ 4 = 3,003,308.75

If the quotient is a whole number, then 4 and 3,003,308.75 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 12,013,235
-1 12,013,235
Keep dividing by the next highest number until you cannot divide anymore.

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

1513654214392,1052,1955,4735,70727,36528,535184,819924,0952,402,64712,013,235
-1-5-13-65-421-439-2,105-2,195-5,473-5,707-27,365-28,535-184,819-924,095-2,402,647-12,013,235

More Examples

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