Q: What are the factor combinations of the number 10,004,467?

 A:
Positive:   1 x 1000446711 x 90949737 x 27039147 x 212861407 x 24581517 x 19351523 x 191291739 x 5753
Negative: -1 x -10004467-11 x -909497-37 x -270391-47 x -212861-407 x -24581-517 x -19351-523 x -19129-1739 x -5753


How do I find the factor combinations of the number 10,004,467?

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 10,004,467, 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 10,004,467
-1 -10,004,467

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 10,004,467.

Example:
1 x 10,004,467 = 10,004,467
and
-1 x -10,004,467 = 10,004,467
Notice both answers equal 10,004,467

With that explanation out of the way, let's continue. Next, we take the number 10,004,467 and divide it by 2:

10,004,467 ÷ 2 = 5,002,233.5

If the quotient is a whole number, then 2 and 5,002,233.5 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 10,004,467
-1 -10,004,467

Now, we try dividing 10,004,467 by 3:

10,004,467 ÷ 3 = 3,334,822.3333

If the quotient is a whole number, then 3 and 3,334,822.3333 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 10,004,467
-1 -10,004,467

Let's try dividing by 4:

10,004,467 ÷ 4 = 2,501,116.75

If the quotient is a whole number, then 4 and 2,501,116.75 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 10,004,467
-1 10,004,467
Keep dividing by the next highest number until you cannot divide anymore.

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

11137474075175231,7395,75319,12919,35124,581212,861270,391909,49710,004,467
-1-11-37-47-407-517-523-1,739-5,753-19,129-19,351-24,581-212,861-270,391-909,497-10,004,467

More Examples

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