Q: What are the factor combinations of the number 23,344,867?

 A:
Positive:   1 x 233448677 x 333498113 x 179575941 x 56938791 x 256537287 x 81341533 x 437993731 x 6257
Negative: -1 x -23344867-7 x -3334981-13 x -1795759-41 x -569387-91 x -256537-287 x -81341-533 x -43799-3731 x -6257


How do I find the factor combinations of the number 23,344,867?

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 23,344,867, 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 23,344,867
-1 -23,344,867

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 23,344,867.

Example:
1 x 23,344,867 = 23,344,867
and
-1 x -23,344,867 = 23,344,867
Notice both answers equal 23,344,867

With that explanation out of the way, let's continue. Next, we take the number 23,344,867 and divide it by 2:

23,344,867 ÷ 2 = 11,672,433.5

If the quotient is a whole number, then 2 and 11,672,433.5 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 23,344,867
-1 -23,344,867

Now, we try dividing 23,344,867 by 3:

23,344,867 ÷ 3 = 7,781,622.3333

If the quotient is a whole number, then 3 and 7,781,622.3333 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 23,344,867
-1 -23,344,867

Let's try dividing by 4:

23,344,867 ÷ 4 = 5,836,216.75

If the quotient is a whole number, then 4 and 5,836,216.75 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 23,344,867
-1 23,344,867
Keep dividing by the next highest number until you cannot divide anymore.

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

171341912875333,7316,25743,79981,341256,537569,3871,795,7593,334,98123,344,867
-1-7-13-41-91-287-533-3,731-6,257-43,799-81,341-256,537-569,387-1,795,759-3,334,981-23,344,867

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 23,344,867:


Ask a Question