Q: What are the factor combinations of the number 50,650,733?

 A:
Positive:   1 x 506507337 x 723581929 x 174657759 x 858487203 x 249511413 x 1226411711 x 296034229 x 11977
Negative: -1 x -50650733-7 x -7235819-29 x -1746577-59 x -858487-203 x -249511-413 x -122641-1711 x -29603-4229 x -11977


How do I find the factor combinations of the number 50,650,733?

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 50,650,733, 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 50,650,733
-1 -50,650,733

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 50,650,733.

Example:
1 x 50,650,733 = 50,650,733
and
-1 x -50,650,733 = 50,650,733
Notice both answers equal 50,650,733

With that explanation out of the way, let's continue. Next, we take the number 50,650,733 and divide it by 2:

50,650,733 ÷ 2 = 25,325,366.5

If the quotient is a whole number, then 2 and 25,325,366.5 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 50,650,733
-1 -50,650,733

Now, we try dividing 50,650,733 by 3:

50,650,733 ÷ 3 = 16,883,577.6667

If the quotient is a whole number, then 3 and 16,883,577.6667 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 50,650,733
-1 -50,650,733

Let's try dividing by 4:

50,650,733 ÷ 4 = 12,662,683.25

If the quotient is a whole number, then 4 and 12,662,683.25 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 50,650,733
-1 50,650,733
Keep dividing by the next highest number until you cannot divide anymore.

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

1729592034131,7114,22911,97729,603122,641249,511858,4871,746,5777,235,81950,650,733
-1-7-29-59-203-413-1,711-4,229-11,977-29,603-122,641-249,511-858,487-1,746,577-7,235,819-50,650,733

More Examples

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