Q: What are the factor combinations of the number 50,650,255?

 A:
Positive:   1 x 506502555 x 1013005123 x 220218547 x 1077665115 x 440437235 x 2155331081 x 468555405 x 9371
Negative: -1 x -50650255-5 x -10130051-23 x -2202185-47 x -1077665-115 x -440437-235 x -215533-1081 x -46855-5405 x -9371


How do I find the factor combinations of the number 50,650,255?

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 50,650,255, 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 50,650,255
-1 -50,650,255

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 50,650,255.

Example:
1 x 50,650,255 = 50,650,255
and
-1 x -50,650,255 = 50,650,255
Notice both answers equal 50,650,255

With that explanation out of the way, let's continue. Next, we take the number 50,650,255 and divide it by 2:

50,650,255 ÷ 2 = 25,325,127.5

If the quotient is a whole number, then 2 and 25,325,127.5 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 50,650,255
-1 -50,650,255

Now, we try dividing 50,650,255 by 3:

50,650,255 ÷ 3 = 16,883,418.3333

If the quotient is a whole number, then 3 and 16,883,418.3333 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 50,650,255
-1 -50,650,255

Let's try dividing by 4:

50,650,255 ÷ 4 = 12,662,563.75

If the quotient is a whole number, then 4 and 12,662,563.75 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 50,650,255
-1 50,650,255
Keep dividing by the next highest number until you cannot divide anymore.

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

1523471152351,0815,4059,37146,855215,533440,4371,077,6652,202,18510,130,05150,650,255
-1-5-23-47-115-235-1,081-5,405-9,371-46,855-215,533-440,437-1,077,665-2,202,185-10,130,051-50,650,255

More Examples

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