Q: What are the factor combinations of the number 216,620,635?

 A:
Positive:   1 x 2166206355 x 433241277 x 3094580511 x 1969278535 x 618916155 x 393855777 x 2813255385 x 562651
Negative: -1 x -216620635-5 x -43324127-7 x -30945805-11 x -19692785-35 x -6189161-55 x -3938557-77 x -2813255-385 x -562651


How do I find the factor combinations of the number 216,620,635?

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 216,620,635, 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.

1 216,620,635
-1 -216,620,635

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 216,620,635.

Example:
1 x 216,620,635 = 216,620,635
and
-1 x -216,620,635 = 216,620,635
Notice both answers equal 216,620,635

With that explanation out of the way, let's continue. Next, we take the number 216,620,635 and divide it by 2:

216,620,635 ÷ 2 = 108,310,317.5

If the quotient is a whole number, then 2 and 108,310,317.5 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:

1 216,620,635
-1 -216,620,635

Now, we try dividing 216,620,635 by 3:

216,620,635 ÷ 3 = 72,206,878.3333

If the quotient is a whole number, then 3 and 72,206,878.3333 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:

1 216,620,635
-1 -216,620,635

Let's try dividing by 4:

216,620,635 ÷ 4 = 54,155,158.75

If the quotient is a whole number, then 4 and 54,155,158.75 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:

1 216,620,635
-1 216,620,635
Keep dividing by the next highest number until you cannot divide anymore.

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

15711355577385562,6512,813,2553,938,5576,189,16119,692,78530,945,80543,324,127216,620,635
-1-5-7-11-35-55-77-385-562,651-2,813,255-3,938,557-6,189,161-19,692,785-30,945,805-43,324,127-216,620,635

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