Q: What are the factor combinations of the number 718,302,055?

 A:
Positive:   1 x 7183020555 x 143660411173 x 4152035823 x 872785865 x 8304071009 x 7118954115 x 1745575045 x 142379
Negative: -1 x -718302055-5 x -143660411-173 x -4152035-823 x -872785-865 x -830407-1009 x -711895-4115 x -174557-5045 x -142379


How do I find the factor combinations of the number 718,302,055?

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 718,302,055, 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.

1 718,302,055
-1 -718,302,055

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 718,302,055.

Example:
1 x 718,302,055 = 718,302,055
and
-1 x -718,302,055 = 718,302,055
Notice both answers equal 718,302,055

With that explanation out of the way, let's continue. Next, we take the number 718,302,055 and divide it by 2:

718,302,055 ÷ 2 = 359,151,027.5

If the quotient is a whole number, then 2 and 359,151,027.5 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:

1 718,302,055
-1 -718,302,055

Now, we try dividing 718,302,055 by 3:

718,302,055 ÷ 3 = 239,434,018.3333

If the quotient is a whole number, then 3 and 239,434,018.3333 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:

1 718,302,055
-1 -718,302,055

Let's try dividing by 4:

718,302,055 ÷ 4 = 179,575,513.75

If the quotient is a whole number, then 4 and 179,575,513.75 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:

1 718,302,055
-1 718,302,055
Keep dividing by the next highest number until you cannot divide anymore.

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

151738238651,0094,1155,045142,379174,557711,895830,407872,7854,152,035143,660,411718,302,055
-1-5-173-823-865-1,009-4,115-5,045-142,379-174,557-711,895-830,407-872,785-4,152,035-143,660,411-718,302,055

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