Q: What are the factor combinations of the number 365,585,885?

 A:
Positive:   1 x 3655858855 x 731171777 x 5222655535 x 10445311199 x 1837115995 x 3674231393 x 2624456965 x 52489
Negative: -1 x -365585885-5 x -73117177-7 x -52226555-35 x -10445311-199 x -1837115-995 x -367423-1393 x -262445-6965 x -52489


How do I find the factor combinations of the number 365,585,885?

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 365,585,885, 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.

1 365,585,885
-1 -365,585,885

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 365,585,885.

Example:
1 x 365,585,885 = 365,585,885
and
-1 x -365,585,885 = 365,585,885
Notice both answers equal 365,585,885

With that explanation out of the way, let's continue. Next, we take the number 365,585,885 and divide it by 2:

365,585,885 ÷ 2 = 182,792,942.5

If the quotient is a whole number, then 2 and 182,792,942.5 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:

1 365,585,885
-1 -365,585,885

Now, we try dividing 365,585,885 by 3:

365,585,885 ÷ 3 = 121,861,961.6667

If the quotient is a whole number, then 3 and 121,861,961.6667 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:

1 365,585,885
-1 -365,585,885

Let's try dividing by 4:

365,585,885 ÷ 4 = 91,396,471.25

If the quotient is a whole number, then 4 and 91,396,471.25 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:

1 365,585,885
-1 365,585,885
Keep dividing by the next highest number until you cannot divide anymore.

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

157351999951,3936,96552,489262,445367,4231,837,11510,445,31152,226,55573,117,177365,585,885
-1-5-7-35-199-995-1,393-6,965-52,489-262,445-367,423-1,837,115-10,445,311-52,226,555-73,117,177-365,585,885

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