Q: What are the factor combinations of the number 9,463,675?

 A:
Positive:   1 x 94636755 x 189273513 x 72797525 x 37854737 x 25577565 x 145595185 x 51155325 x 29119481 x 19675787 x 12025925 x 102312405 x 3935
Negative: -1 x -9463675-5 x -1892735-13 x -727975-25 x -378547-37 x -255775-65 x -145595-185 x -51155-325 x -29119-481 x -19675-787 x -12025-925 x -10231-2405 x -3935


How do I find the factor combinations of the number 9,463,675?

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 9,463,675, 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 9,463,675
-1 -9,463,675

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 9,463,675.

Example:
1 x 9,463,675 = 9,463,675
and
-1 x -9,463,675 = 9,463,675
Notice both answers equal 9,463,675

With that explanation out of the way, let's continue. Next, we take the number 9,463,675 and divide it by 2:

9,463,675 ÷ 2 = 4,731,837.5

If the quotient is a whole number, then 2 and 4,731,837.5 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 9,463,675
-1 -9,463,675

Now, we try dividing 9,463,675 by 3:

9,463,675 ÷ 3 = 3,154,558.3333

If the quotient is a whole number, then 3 and 3,154,558.3333 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 9,463,675
-1 -9,463,675

Let's try dividing by 4:

9,463,675 ÷ 4 = 2,365,918.75

If the quotient is a whole number, then 4 and 2,365,918.75 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 9,463,675
-1 9,463,675
Keep dividing by the next highest number until you cannot divide anymore.

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

15132537651853254817879252,4053,93510,23112,02519,67529,11951,155145,595255,775378,547727,9751,892,7359,463,675
-1-5-13-25-37-65-185-325-481-787-925-2,405-3,935-10,231-12,025-19,675-29,119-51,155-145,595-255,775-378,547-727,975-1,892,735-9,463,675

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 9,463,675:


Ask a Question