Q: What are the factor combinations of the number 23,004,655?

 A:
Positive:   1 x 230046555 x 460093117 x 135321585 x 270643241 x 954551123 x 204851205 x 190914097 x 5615
Negative: -1 x -23004655-5 x -4600931-17 x -1353215-85 x -270643-241 x -95455-1123 x -20485-1205 x -19091-4097 x -5615


How do I find the factor combinations of the number 23,004,655?

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 23,004,655, 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 23,004,655
-1 -23,004,655

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 23,004,655.

Example:
1 x 23,004,655 = 23,004,655
and
-1 x -23,004,655 = 23,004,655
Notice both answers equal 23,004,655

With that explanation out of the way, let's continue. Next, we take the number 23,004,655 and divide it by 2:

23,004,655 ÷ 2 = 11,502,327.5

If the quotient is a whole number, then 2 and 11,502,327.5 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 23,004,655
-1 -23,004,655

Now, we try dividing 23,004,655 by 3:

23,004,655 ÷ 3 = 7,668,218.3333

If the quotient is a whole number, then 3 and 7,668,218.3333 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 23,004,655
-1 -23,004,655

Let's try dividing by 4:

23,004,655 ÷ 4 = 5,751,163.75

If the quotient is a whole number, then 4 and 5,751,163.75 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 23,004,655
-1 23,004,655
Keep dividing by the next highest number until you cannot divide anymore.

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

1517852411,1231,2054,0975,61519,09120,48595,455270,6431,353,2154,600,93123,004,655
-1-5-17-85-241-1,123-1,205-4,097-5,615-19,091-20,485-95,455-270,643-1,353,215-4,600,931-23,004,655

More Examples

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