Q: What are the factor combinations of the number 10,431,043?

 A:
Positive:   1 x 104310437 x 149014973 x 142891137 x 76139149 x 70007511 x 20413959 x 108771043 x 10001
Negative: -1 x -10431043-7 x -1490149-73 x -142891-137 x -76139-149 x -70007-511 x -20413-959 x -10877-1043 x -10001


How do I find the factor combinations of the number 10,431,043?

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 10,431,043, 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 10,431,043
-1 -10,431,043

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 10,431,043.

Example:
1 x 10,431,043 = 10,431,043
and
-1 x -10,431,043 = 10,431,043
Notice both answers equal 10,431,043

With that explanation out of the way, let's continue. Next, we take the number 10,431,043 and divide it by 2:

10,431,043 ÷ 2 = 5,215,521.5

If the quotient is a whole number, then 2 and 5,215,521.5 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 10,431,043
-1 -10,431,043

Now, we try dividing 10,431,043 by 3:

10,431,043 ÷ 3 = 3,477,014.3333

If the quotient is a whole number, then 3 and 3,477,014.3333 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 10,431,043
-1 -10,431,043

Let's try dividing by 4:

10,431,043 ÷ 4 = 2,607,760.75

If the quotient is a whole number, then 4 and 2,607,760.75 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 10,431,043
-1 10,431,043
Keep dividing by the next highest number until you cannot divide anymore.

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

17731371495119591,04310,00110,87720,41370,00776,139142,8911,490,14910,431,043
-1-7-73-137-149-511-959-1,043-10,001-10,877-20,413-70,007-76,139-142,891-1,490,149-10,431,043

More Examples

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