Q: What are the factor combinations of the number 23,431,595?

 A:
Positive:   1 x 234315955 x 468631911 x 213014523 x 101876555 x 426029115 x 203753253 x 926151265 x 18523
Negative: -1 x -23431595-5 x -4686319-11 x -2130145-23 x -1018765-55 x -426029-115 x -203753-253 x -92615-1265 x -18523


How do I find the factor combinations of the number 23,431,595?

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 23,431,595, 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 23,431,595
-1 -23,431,595

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 23,431,595.

Example:
1 x 23,431,595 = 23,431,595
and
-1 x -23,431,595 = 23,431,595
Notice both answers equal 23,431,595

With that explanation out of the way, let's continue. Next, we take the number 23,431,595 and divide it by 2:

23,431,595 ÷ 2 = 11,715,797.5

If the quotient is a whole number, then 2 and 11,715,797.5 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 23,431,595
-1 -23,431,595

Now, we try dividing 23,431,595 by 3:

23,431,595 ÷ 3 = 7,810,531.6667

If the quotient is a whole number, then 3 and 7,810,531.6667 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 23,431,595
-1 -23,431,595

Let's try dividing by 4:

23,431,595 ÷ 4 = 5,857,898.75

If the quotient is a whole number, then 4 and 5,857,898.75 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 23,431,595
-1 23,431,595
Keep dividing by the next highest number until you cannot divide anymore.

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

151123551152531,26518,52392,615203,753426,0291,018,7652,130,1454,686,31923,431,595
-1-5-11-23-55-115-253-1,265-18,523-92,615-203,753-426,029-1,018,765-2,130,145-4,686,319-23,431,595

More Examples

Here are some more numbers to try:

Try the factor calculator

Explore more about the number 23,431,595:


Ask a Question