Q: What are the factor combinations of the number 23,717,335?

 A:
Positive:   1 x 237173355 x 474346773 x 324895181 x 131035359 x 66065365 x 64979905 x 262071795 x 13213
Negative: -1 x -23717335-5 x -4743467-73 x -324895-181 x -131035-359 x -66065-365 x -64979-905 x -26207-1795 x -13213


How do I find the factor combinations of the number 23,717,335?

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 23,717,335, 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 23,717,335
-1 -23,717,335

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 23,717,335.

Example:
1 x 23,717,335 = 23,717,335
and
-1 x -23,717,335 = 23,717,335
Notice both answers equal 23,717,335

With that explanation out of the way, let's continue. Next, we take the number 23,717,335 and divide it by 2:

23,717,335 ÷ 2 = 11,858,667.5

If the quotient is a whole number, then 2 and 11,858,667.5 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 23,717,335
-1 -23,717,335

Now, we try dividing 23,717,335 by 3:

23,717,335 ÷ 3 = 7,905,778.3333

If the quotient is a whole number, then 3 and 7,905,778.3333 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 23,717,335
-1 -23,717,335

Let's try dividing by 4:

23,717,335 ÷ 4 = 5,929,333.75

If the quotient is a whole number, then 4 and 5,929,333.75 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 23,717,335
-1 23,717,335
Keep dividing by the next highest number until you cannot divide anymore.

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

15731813593659051,79513,21326,20764,97966,065131,035324,8954,743,46723,717,335
-1-5-73-181-359-365-905-1,795-13,213-26,207-64,979-66,065-131,035-324,895-4,743,467-23,717,335

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 23,717,335:


Ask a Question