Q: What are the factor combinations of the number 24,202,013?

 A:
Positive:   1 x 2420201311 x 220018341 x 590293103 x 234971451 x 53663521 x 464531133 x 213614223 x 5731
Negative: -1 x -24202013-11 x -2200183-41 x -590293-103 x -234971-451 x -53663-521 x -46453-1133 x -21361-4223 x -5731


How do I find the factor combinations of the number 24,202,013?

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 24,202,013, 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 24,202,013
-1 -24,202,013

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 24,202,013.

Example:
1 x 24,202,013 = 24,202,013
and
-1 x -24,202,013 = 24,202,013
Notice both answers equal 24,202,013

With that explanation out of the way, let's continue. Next, we take the number 24,202,013 and divide it by 2:

24,202,013 ÷ 2 = 12,101,006.5

If the quotient is a whole number, then 2 and 12,101,006.5 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 24,202,013
-1 -24,202,013

Now, we try dividing 24,202,013 by 3:

24,202,013 ÷ 3 = 8,067,337.6667

If the quotient is a whole number, then 3 and 8,067,337.6667 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 24,202,013
-1 -24,202,013

Let's try dividing by 4:

24,202,013 ÷ 4 = 6,050,503.25

If the quotient is a whole number, then 4 and 6,050,503.25 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 24,202,013
-1 24,202,013
Keep dividing by the next highest number until you cannot divide anymore.

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

111411034515211,1334,2235,73121,36146,45353,663234,971590,2932,200,18324,202,013
-1-11-41-103-451-521-1,133-4,223-5,731-21,361-46,453-53,663-234,971-590,293-2,200,183-24,202,013

More Examples

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