Q: What are the factor combinations of the number 215,154,155?

 A:
Positive:   1 x 2151541555 x 4303083143 x 5003585215 x 1000717421 x 5110552105 x 1022112377 x 9051511885 x 18103
Negative: -1 x -215154155-5 x -43030831-43 x -5003585-215 x -1000717-421 x -511055-2105 x -102211-2377 x -90515-11885 x -18103


How do I find the factor combinations of the number 215,154,155?

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 215,154,155, 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.

1 215,154,155
-1 -215,154,155

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 215,154,155.

Example:
1 x 215,154,155 = 215,154,155
and
-1 x -215,154,155 = 215,154,155
Notice both answers equal 215,154,155

With that explanation out of the way, let's continue. Next, we take the number 215,154,155 and divide it by 2:

215,154,155 ÷ 2 = 107,577,077.5

If the quotient is a whole number, then 2 and 107,577,077.5 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:

1 215,154,155
-1 -215,154,155

Now, we try dividing 215,154,155 by 3:

215,154,155 ÷ 3 = 71,718,051.6667

If the quotient is a whole number, then 3 and 71,718,051.6667 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:

1 215,154,155
-1 -215,154,155

Let's try dividing by 4:

215,154,155 ÷ 4 = 53,788,538.75

If the quotient is a whole number, then 4 and 53,788,538.75 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:

1 215,154,155
-1 215,154,155
Keep dividing by the next highest number until you cannot divide anymore.

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

15432154212,1052,37711,88518,10390,515102,211511,0551,000,7175,003,58543,030,831215,154,155
-1-5-43-215-421-2,105-2,377-11,885-18,103-90,515-102,211-511,055-1,000,717-5,003,585-43,030,831-215,154,155

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