Q: What are the factor combinations of the number 216,240,605?

 A:
Positive:   1 x 2162406055 x 432481217 x 3089151535 x 617830359 x 3665095295 x 733019413 x 5235852065 x 104717
Negative: -1 x -216240605-5 x -43248121-7 x -30891515-35 x -6178303-59 x -3665095-295 x -733019-413 x -523585-2065 x -104717


How do I find the factor combinations of the number 216,240,605?

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 216,240,605, 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.

1 216,240,605
-1 -216,240,605

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 216,240,605.

Example:
1 x 216,240,605 = 216,240,605
and
-1 x -216,240,605 = 216,240,605
Notice both answers equal 216,240,605

With that explanation out of the way, let's continue. Next, we take the number 216,240,605 and divide it by 2:

216,240,605 ÷ 2 = 108,120,302.5

If the quotient is a whole number, then 2 and 108,120,302.5 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:

1 216,240,605
-1 -216,240,605

Now, we try dividing 216,240,605 by 3:

216,240,605 ÷ 3 = 72,080,201.6667

If the quotient is a whole number, then 3 and 72,080,201.6667 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:

1 216,240,605
-1 -216,240,605

Let's try dividing by 4:

216,240,605 ÷ 4 = 54,060,151.25

If the quotient is a whole number, then 4 and 54,060,151.25 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:

1 216,240,605
-1 216,240,605
Keep dividing by the next highest number until you cannot divide anymore.

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

15735592954132,065104,717523,585733,0193,665,0956,178,30330,891,51543,248,121216,240,605
-1-5-7-35-59-295-413-2,065-104,717-523,585-733,019-3,665,095-6,178,303-30,891,515-43,248,121-216,240,605

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