Q: What are the factor combinations of the number 10,004,333?

 A:
Positive:   1 x 1000433323 x 43497129 x 34497753 x 188761283 x 35351667 x 149991219 x 82071537 x 6509
Negative: -1 x -10004333-23 x -434971-29 x -344977-53 x -188761-283 x -35351-667 x -14999-1219 x -8207-1537 x -6509


How do I find the factor combinations of the number 10,004,333?

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 10,004,333, 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 10,004,333
-1 -10,004,333

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 10,004,333.

Example:
1 x 10,004,333 = 10,004,333
and
-1 x -10,004,333 = 10,004,333
Notice both answers equal 10,004,333

With that explanation out of the way, let's continue. Next, we take the number 10,004,333 and divide it by 2:

10,004,333 ÷ 2 = 5,002,166.5

If the quotient is a whole number, then 2 and 5,002,166.5 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 10,004,333
-1 -10,004,333

Now, we try dividing 10,004,333 by 3:

10,004,333 ÷ 3 = 3,334,777.6667

If the quotient is a whole number, then 3 and 3,334,777.6667 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 10,004,333
-1 -10,004,333

Let's try dividing by 4:

10,004,333 ÷ 4 = 2,501,083.25

If the quotient is a whole number, then 4 and 2,501,083.25 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 10,004,333
-1 10,004,333
Keep dividing by the next highest number until you cannot divide anymore.

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

12329532836671,2191,5376,5098,20714,99935,351188,761344,977434,97110,004,333
-1-23-29-53-283-667-1,219-1,537-6,509-8,207-14,999-35,351-188,761-344,977-434,971-10,004,333

More Examples

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