Q: What are the factor combinations of the number 55,791,769?

 A:
Positive:   1 x 5579176911 x 507197943 x 1297483121 x 461089473 x 1179535203 x 10723
Negative: -1 x -55791769-11 x -5071979-43 x -1297483-121 x -461089-473 x -117953-5203 x -10723


How do I find the factor combinations of the number 55,791,769?

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 55,791,769, 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 55,791,769
-1 -55,791,769

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 55,791,769.

Example:
1 x 55,791,769 = 55,791,769
and
-1 x -55,791,769 = 55,791,769
Notice both answers equal 55,791,769

With that explanation out of the way, let's continue. Next, we take the number 55,791,769 and divide it by 2:

55,791,769 ÷ 2 = 27,895,884.5

If the quotient is a whole number, then 2 and 27,895,884.5 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 55,791,769
-1 -55,791,769

Now, we try dividing 55,791,769 by 3:

55,791,769 ÷ 3 = 18,597,256.3333

If the quotient is a whole number, then 3 and 18,597,256.3333 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 55,791,769
-1 -55,791,769

Let's try dividing by 4:

55,791,769 ÷ 4 = 13,947,942.25

If the quotient is a whole number, then 4 and 13,947,942.25 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 55,791,769
-1 55,791,769
Keep dividing by the next highest number until you cannot divide anymore.

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

111431214735,20310,723117,953461,0891,297,4835,071,97955,791,769
-1-11-43-121-473-5,203-10,723-117,953-461,089-1,297,483-5,071,979-55,791,769

More Examples

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