Q: What are the factor combinations of the number 50,217,055?

 A:
Positive:   1 x 502170555 x 100434117 x 717386531 x 161990535 x 1434773155 x 323981217 x 231415961 x 522551085 x 462831493 x 336354805 x 104516727 x 7465
Negative: -1 x -50217055-5 x -10043411-7 x -7173865-31 x -1619905-35 x -1434773-155 x -323981-217 x -231415-961 x -52255-1085 x -46283-1493 x -33635-4805 x -10451-6727 x -7465


How do I find the factor combinations of the number 50,217,055?

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 50,217,055, 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 50,217,055
-1 -50,217,055

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 50,217,055.

Example:
1 x 50,217,055 = 50,217,055
and
-1 x -50,217,055 = 50,217,055
Notice both answers equal 50,217,055

With that explanation out of the way, let's continue. Next, we take the number 50,217,055 and divide it by 2:

50,217,055 ÷ 2 = 25,108,527.5

If the quotient is a whole number, then 2 and 25,108,527.5 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 50,217,055
-1 -50,217,055

Now, we try dividing 50,217,055 by 3:

50,217,055 ÷ 3 = 16,739,018.3333

If the quotient is a whole number, then 3 and 16,739,018.3333 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 50,217,055
-1 -50,217,055

Let's try dividing by 4:

50,217,055 ÷ 4 = 12,554,263.75

If the quotient is a whole number, then 4 and 12,554,263.75 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 50,217,055
-1 50,217,055
Keep dividing by the next highest number until you cannot divide anymore.

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

15731351552179611,0851,4934,8056,7277,46510,45133,63546,28352,255231,415323,9811,434,7731,619,9057,173,86510,043,41150,217,055
-1-5-7-31-35-155-217-961-1,085-1,493-4,805-6,727-7,465-10,451-33,635-46,283-52,255-231,415-323,981-1,434,773-1,619,905-7,173,865-10,043,411-50,217,055

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