Q: What are the factor combinations of the number 46,431,845?

 A:
Positive:   1 x 464318455 x 928636917 x 273128585 x 546257167 x 278035835 x 556072839 x 163553271 x 14195
Negative: -1 x -46431845-5 x -9286369-17 x -2731285-85 x -546257-167 x -278035-835 x -55607-2839 x -16355-3271 x -14195


How do I find the factor combinations of the number 46,431,845?

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 46,431,845, 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 46,431,845
-1 -46,431,845

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 46,431,845.

Example:
1 x 46,431,845 = 46,431,845
and
-1 x -46,431,845 = 46,431,845
Notice both answers equal 46,431,845

With that explanation out of the way, let's continue. Next, we take the number 46,431,845 and divide it by 2:

46,431,845 ÷ 2 = 23,215,922.5

If the quotient is a whole number, then 2 and 23,215,922.5 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 46,431,845
-1 -46,431,845

Now, we try dividing 46,431,845 by 3:

46,431,845 ÷ 3 = 15,477,281.6667

If the quotient is a whole number, then 3 and 15,477,281.6667 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 46,431,845
-1 -46,431,845

Let's try dividing by 4:

46,431,845 ÷ 4 = 11,607,961.25

If the quotient is a whole number, then 4 and 11,607,961.25 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 46,431,845
-1 46,431,845
Keep dividing by the next highest number until you cannot divide anymore.

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

1517851678352,8393,27114,19516,35555,607278,035546,2572,731,2859,286,36946,431,845
-1-5-17-85-167-835-2,839-3,271-14,195-16,355-55,607-278,035-546,257-2,731,285-9,286,369-46,431,845

More Examples

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