Q: What are the factor combinations of the number 888,486,005?

 A:
Positive:   1 x 8884860055 x 17769720111 x 8077145555 x 16154291991 x 8965554955 x 17931110901 x 8150516301 x 54505
Negative: -1 x -888486005-5 x -177697201-11 x -80771455-55 x -16154291-991 x -896555-4955 x -179311-10901 x -81505-16301 x -54505


How do I find the factor combinations of the number 888,486,005?

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 888,486,005, 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.

1 888,486,005
-1 -888,486,005

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 888,486,005.

Example:
1 x 888,486,005 = 888,486,005
and
-1 x -888,486,005 = 888,486,005
Notice both answers equal 888,486,005

With that explanation out of the way, let's continue. Next, we take the number 888,486,005 and divide it by 2:

888,486,005 ÷ 2 = 444,243,002.5

If the quotient is a whole number, then 2 and 444,243,002.5 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:

1 888,486,005
-1 -888,486,005

Now, we try dividing 888,486,005 by 3:

888,486,005 ÷ 3 = 296,162,001.6667

If the quotient is a whole number, then 3 and 296,162,001.6667 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:

1 888,486,005
-1 -888,486,005

Let's try dividing by 4:

888,486,005 ÷ 4 = 222,121,501.25

If the quotient is a whole number, then 4 and 222,121,501.25 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:

1 888,486,005
-1 888,486,005
Keep dividing by the next highest number until you cannot divide anymore.

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

1511559914,95510,90116,30154,50581,505179,311896,55516,154,29180,771,455177,697,201888,486,005
-1-5-11-55-991-4,955-10,901-16,301-54,505-81,505-179,311-896,555-16,154,291-80,771,455-177,697,201-888,486,005

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