Q: What are the factor combinations of the number 55,520,773?

 A:
Positive:   1 x 555207737 x 793153911 x 504734349 x 113307777 x 721049539 x 103007
Negative: -1 x -55520773-7 x -7931539-11 x -5047343-49 x -1133077-77 x -721049-539 x -103007


How do I find the factor combinations of the number 55,520,773?

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 55,520,773, 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 55,520,773
-1 -55,520,773

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 55,520,773.

Example:
1 x 55,520,773 = 55,520,773
and
-1 x -55,520,773 = 55,520,773
Notice both answers equal 55,520,773

With that explanation out of the way, let's continue. Next, we take the number 55,520,773 and divide it by 2:

55,520,773 ÷ 2 = 27,760,386.5

If the quotient is a whole number, then 2 and 27,760,386.5 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 55,520,773
-1 -55,520,773

Now, we try dividing 55,520,773 by 3:

55,520,773 ÷ 3 = 18,506,924.3333

If the quotient is a whole number, then 3 and 18,506,924.3333 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 55,520,773
-1 -55,520,773

Let's try dividing by 4:

55,520,773 ÷ 4 = 13,880,193.25

If the quotient is a whole number, then 4 and 13,880,193.25 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 55,520,773
-1 55,520,773
Keep dividing by the next highest number until you cannot divide anymore.

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

17114977539103,007721,0491,133,0775,047,3437,931,53955,520,773
-1-7-11-49-77-539-103,007-721,049-1,133,077-5,047,343-7,931,539-55,520,773

More Examples

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