Q: What are the factor combinations of the number 473,607,233?

 A:
Positive:   1 x 47360723311 x 4305520317 x 2785924961 x 7764053187 x 2532659671 x 7058231037 x 45670911407 x 41519
Negative: -1 x -473607233-11 x -43055203-17 x -27859249-61 x -7764053-187 x -2532659-671 x -705823-1037 x -456709-11407 x -41519


How do I find the factor combinations of the number 473,607,233?

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 473,607,233, 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.

1 473,607,233
-1 -473,607,233

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 473,607,233.

Example:
1 x 473,607,233 = 473,607,233
and
-1 x -473,607,233 = 473,607,233
Notice both answers equal 473,607,233

With that explanation out of the way, let's continue. Next, we take the number 473,607,233 and divide it by 2:

473,607,233 ÷ 2 = 236,803,616.5

If the quotient is a whole number, then 2 and 236,803,616.5 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:

1 473,607,233
-1 -473,607,233

Now, we try dividing 473,607,233 by 3:

473,607,233 ÷ 3 = 157,869,077.6667

If the quotient is a whole number, then 3 and 157,869,077.6667 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:

1 473,607,233
-1 -473,607,233

Let's try dividing by 4:

473,607,233 ÷ 4 = 118,401,808.25

If the quotient is a whole number, then 4 and 118,401,808.25 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:

1 473,607,233
-1 473,607,233
Keep dividing by the next highest number until you cannot divide anymore.

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

11117611876711,03711,40741,519456,709705,8232,532,6597,764,05327,859,24943,055,203473,607,233
-1-11-17-61-187-671-1,037-11,407-41,519-456,709-705,823-2,532,659-7,764,053-27,859,249-43,055,203-473,607,233

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 473,607,233:


Ask a Question