Q: What are the factor combinations of the number 18,048,175?

 A:
Positive:   1 x 180481755 x 360963525 x 72192743 x 419725103 x 175225163 x 110725215 x 83945515 x 35045815 x 221451075 x 167892575 x 70094075 x 4429
Negative: -1 x -18048175-5 x -3609635-25 x -721927-43 x -419725-103 x -175225-163 x -110725-215 x -83945-515 x -35045-815 x -22145-1075 x -16789-2575 x -7009-4075 x -4429


How do I find the factor combinations of the number 18,048,175?

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 18,048,175, 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 18,048,175
-1 -18,048,175

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 18,048,175.

Example:
1 x 18,048,175 = 18,048,175
and
-1 x -18,048,175 = 18,048,175
Notice both answers equal 18,048,175

With that explanation out of the way, let's continue. Next, we take the number 18,048,175 and divide it by 2:

18,048,175 ÷ 2 = 9,024,087.5

If the quotient is a whole number, then 2 and 9,024,087.5 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 18,048,175
-1 -18,048,175

Now, we try dividing 18,048,175 by 3:

18,048,175 ÷ 3 = 6,016,058.3333

If the quotient is a whole number, then 3 and 6,016,058.3333 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 18,048,175
-1 -18,048,175

Let's try dividing by 4:

18,048,175 ÷ 4 = 4,512,043.75

If the quotient is a whole number, then 4 and 4,512,043.75 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 18,048,175
-1 18,048,175
Keep dividing by the next highest number until you cannot divide anymore.

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

1525431031632155158151,0752,5754,0754,4297,00916,78922,14535,04583,945110,725175,225419,725721,9273,609,63518,048,175
-1-5-25-43-103-163-215-515-815-1,075-2,575-4,075-4,429-7,009-16,789-22,145-35,045-83,945-110,725-175,225-419,725-721,927-3,609,635-18,048,175

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