Q: What are the factor combinations of the number 9,418,471?

 A:
Positive:   1 x 941847119 x 49570947 x 20039353 x 177707199 x 47329893 x 105471007 x 93532491 x 3781
Negative: -1 x -9418471-19 x -495709-47 x -200393-53 x -177707-199 x -47329-893 x -10547-1007 x -9353-2491 x -3781


How do I find the factor combinations of the number 9,418,471?

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 9,418,471, 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 9,418,471
-1 -9,418,471

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 9,418,471.

Example:
1 x 9,418,471 = 9,418,471
and
-1 x -9,418,471 = 9,418,471
Notice both answers equal 9,418,471

With that explanation out of the way, let's continue. Next, we take the number 9,418,471 and divide it by 2:

9,418,471 ÷ 2 = 4,709,235.5

If the quotient is a whole number, then 2 and 4,709,235.5 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 9,418,471
-1 -9,418,471

Now, we try dividing 9,418,471 by 3:

9,418,471 ÷ 3 = 3,139,490.3333

If the quotient is a whole number, then 3 and 3,139,490.3333 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 9,418,471
-1 -9,418,471

Let's try dividing by 4:

9,418,471 ÷ 4 = 2,354,617.75

If the quotient is a whole number, then 4 and 2,354,617.75 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 9,418,471
-1 9,418,471
Keep dividing by the next highest number until you cannot divide anymore.

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

11947531998931,0072,4913,7819,35310,54747,329177,707200,393495,7099,418,471
-1-19-47-53-199-893-1,007-2,491-3,781-9,353-10,547-47,329-177,707-200,393-495,709-9,418,471

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