Q: What are the factor combinations of the number 718,100,779?

 A:
Positive:   1 x 71810077911 x 6528188923 x 31221773253 x 28383431031 x 6965092753 x 26084311341 x 6331923713 x 30283
Negative: -1 x -718100779-11 x -65281889-23 x -31221773-253 x -2838343-1031 x -696509-2753 x -260843-11341 x -63319-23713 x -30283


How do I find the factor combinations of the number 718,100,779?

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 718,100,779, 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.

1 718,100,779
-1 -718,100,779

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 718,100,779.

Example:
1 x 718,100,779 = 718,100,779
and
-1 x -718,100,779 = 718,100,779
Notice both answers equal 718,100,779

With that explanation out of the way, let's continue. Next, we take the number 718,100,779 and divide it by 2:

718,100,779 ÷ 2 = 359,050,389.5

If the quotient is a whole number, then 2 and 359,050,389.5 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:

1 718,100,779
-1 -718,100,779

Now, we try dividing 718,100,779 by 3:

718,100,779 ÷ 3 = 239,366,926.3333

If the quotient is a whole number, then 3 and 239,366,926.3333 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:

1 718,100,779
-1 -718,100,779

Let's try dividing by 4:

718,100,779 ÷ 4 = 179,525,194.75

If the quotient is a whole number, then 4 and 179,525,194.75 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:

1 718,100,779
-1 718,100,779
Keep dividing by the next highest number until you cannot divide anymore.

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

111232531,0312,75311,34123,71330,28363,319260,843696,5092,838,34331,221,77365,281,889718,100,779
-1-11-23-253-1,031-2,753-11,341-23,713-30,283-63,319-260,843-696,509-2,838,343-31,221,773-65,281,889-718,100,779

More Examples

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