Q: What are the factor combinations of the number 10,002,443?

 A:
Positive:   1 x 1000244311 x 90931317 x 58837989 x 112387187 x 53489601 x 16643979 x 102171513 x 6611
Negative: -1 x -10002443-11 x -909313-17 x -588379-89 x -112387-187 x -53489-601 x -16643-979 x -10217-1513 x -6611


How do I find the factor combinations of the number 10,002,443?

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 10,002,443, 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 10,002,443
-1 -10,002,443

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 10,002,443.

Example:
1 x 10,002,443 = 10,002,443
and
-1 x -10,002,443 = 10,002,443
Notice both answers equal 10,002,443

With that explanation out of the way, let's continue. Next, we take the number 10,002,443 and divide it by 2:

10,002,443 ÷ 2 = 5,001,221.5

If the quotient is a whole number, then 2 and 5,001,221.5 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 10,002,443
-1 -10,002,443

Now, we try dividing 10,002,443 by 3:

10,002,443 ÷ 3 = 3,334,147.6667

If the quotient is a whole number, then 3 and 3,334,147.6667 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 10,002,443
-1 -10,002,443

Let's try dividing by 4:

10,002,443 ÷ 4 = 2,500,610.75

If the quotient is a whole number, then 4 and 2,500,610.75 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 10,002,443
-1 10,002,443
Keep dividing by the next highest number until you cannot divide anymore.

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

11117891876019791,5136,61110,21716,64353,489112,387588,379909,31310,002,443
-1-11-17-89-187-601-979-1,513-6,611-10,217-16,643-53,489-112,387-588,379-909,313-10,002,443

More Examples

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