Q: What are the factor combinations of the number 18,888,145?

 A:
Positive:   1 x 188881455 x 377762931 x 609295155 x 121859233 x 81065523 x 361151165 x 162132615 x 7223
Negative: -1 x -18888145-5 x -3777629-31 x -609295-155 x -121859-233 x -81065-523 x -36115-1165 x -16213-2615 x -7223


How do I find the factor combinations of the number 18,888,145?

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 18,888,145, 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 18,888,145
-1 -18,888,145

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 18,888,145.

Example:
1 x 18,888,145 = 18,888,145
and
-1 x -18,888,145 = 18,888,145
Notice both answers equal 18,888,145

With that explanation out of the way, let's continue. Next, we take the number 18,888,145 and divide it by 2:

18,888,145 ÷ 2 = 9,444,072.5

If the quotient is a whole number, then 2 and 9,444,072.5 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 18,888,145
-1 -18,888,145

Now, we try dividing 18,888,145 by 3:

18,888,145 ÷ 3 = 6,296,048.3333

If the quotient is a whole number, then 3 and 6,296,048.3333 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 18,888,145
-1 -18,888,145

Let's try dividing by 4:

18,888,145 ÷ 4 = 4,722,036.25

If the quotient is a whole number, then 4 and 4,722,036.25 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 18,888,145
-1 18,888,145
Keep dividing by the next highest number until you cannot divide anymore.

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

15311552335231,1652,6157,22316,21336,11581,065121,859609,2953,777,62918,888,145
-1-5-31-155-233-523-1,165-2,615-7,223-16,213-36,115-81,065-121,859-609,295-3,777,629-18,888,145

More Examples

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