Q: What are the factor combinations of the number 50,677,655?

 A:
Positive:   1 x 506776555 x 101355317 x 723966519 x 266724535 x 144793395 x 533449133 x 381035665 x 76207
Negative: -1 x -50677655-5 x -10135531-7 x -7239665-19 x -2667245-35 x -1447933-95 x -533449-133 x -381035-665 x -76207


How do I find the factor combinations of the number 50,677,655?

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 50,677,655, 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 50,677,655
-1 -50,677,655

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 50,677,655.

Example:
1 x 50,677,655 = 50,677,655
and
-1 x -50,677,655 = 50,677,655
Notice both answers equal 50,677,655

With that explanation out of the way, let's continue. Next, we take the number 50,677,655 and divide it by 2:

50,677,655 ÷ 2 = 25,338,827.5

If the quotient is a whole number, then 2 and 25,338,827.5 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 50,677,655
-1 -50,677,655

Now, we try dividing 50,677,655 by 3:

50,677,655 ÷ 3 = 16,892,551.6667

If the quotient is a whole number, then 3 and 16,892,551.6667 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 50,677,655
-1 -50,677,655

Let's try dividing by 4:

50,677,655 ÷ 4 = 12,669,413.75

If the quotient is a whole number, then 4 and 12,669,413.75 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 50,677,655
-1 50,677,655
Keep dividing by the next highest number until you cannot divide anymore.

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

15719359513366576,207381,035533,4491,447,9332,667,2457,239,66510,135,53150,677,655
-1-5-7-19-35-95-133-665-76,207-381,035-533,449-1,447,933-2,667,245-7,239,665-10,135,531-50,677,655

More Examples

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