Q: What are the factor combinations of the number 18,118,175?

 A:
Positive:   1 x 181181755 x 362363517 x 106577525 x 72472785 x 21315589 x 203575425 x 42631445 x 40715479 x 378251513 x 119752225 x 81432395 x 7565
Negative: -1 x -18118175-5 x -3623635-17 x -1065775-25 x -724727-85 x -213155-89 x -203575-425 x -42631-445 x -40715-479 x -37825-1513 x -11975-2225 x -8143-2395 x -7565


How do I find the factor combinations of the number 18,118,175?

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 18,118,175, 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 18,118,175
-1 -18,118,175

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 18,118,175.

Example:
1 x 18,118,175 = 18,118,175
and
-1 x -18,118,175 = 18,118,175
Notice both answers equal 18,118,175

With that explanation out of the way, let's continue. Next, we take the number 18,118,175 and divide it by 2:

18,118,175 ÷ 2 = 9,059,087.5

If the quotient is a whole number, then 2 and 9,059,087.5 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 18,118,175
-1 -18,118,175

Now, we try dividing 18,118,175 by 3:

18,118,175 ÷ 3 = 6,039,391.6667

If the quotient is a whole number, then 3 and 6,039,391.6667 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 18,118,175
-1 -18,118,175

Let's try dividing by 4:

18,118,175 ÷ 4 = 4,529,543.75

If the quotient is a whole number, then 4 and 4,529,543.75 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 18,118,175
-1 18,118,175
Keep dividing by the next highest number until you cannot divide anymore.

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

15172585894254454791,5132,2252,3957,5658,14311,97537,82540,71542,631203,575213,155724,7271,065,7753,623,63518,118,175
-1-5-17-25-85-89-425-445-479-1,513-2,225-2,395-7,565-8,143-11,975-37,825-40,715-42,631-203,575-213,155-724,727-1,065,775-3,623,635-18,118,175

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