Q: What are the factor combinations of the number 487,382,779?

 A:
Positive:   1 x 48738277913 x 3749098389 x 5476211223 x 21855731157 x 4212471889 x 2580112899 x 16812119847 x 24557
Negative: -1 x -487382779-13 x -37490983-89 x -5476211-223 x -2185573-1157 x -421247-1889 x -258011-2899 x -168121-19847 x -24557


How do I find the factor combinations of the number 487,382,779?

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 487,382,779, 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.

1 487,382,779
-1 -487,382,779

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 487,382,779.

Example:
1 x 487,382,779 = 487,382,779
and
-1 x -487,382,779 = 487,382,779
Notice both answers equal 487,382,779

With that explanation out of the way, let's continue. Next, we take the number 487,382,779 and divide it by 2:

487,382,779 ÷ 2 = 243,691,389.5

If the quotient is a whole number, then 2 and 243,691,389.5 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:

1 487,382,779
-1 -487,382,779

Now, we try dividing 487,382,779 by 3:

487,382,779 ÷ 3 = 162,460,926.3333

If the quotient is a whole number, then 3 and 162,460,926.3333 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:

1 487,382,779
-1 -487,382,779

Let's try dividing by 4:

487,382,779 ÷ 4 = 121,845,694.75

If the quotient is a whole number, then 4 and 121,845,694.75 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:

1 487,382,779
-1 487,382,779
Keep dividing by the next highest number until you cannot divide anymore.

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

113892231,1571,8892,89919,84724,557168,121258,011421,2472,185,5735,476,21137,490,983487,382,779
-1-13-89-223-1,157-1,889-2,899-19,847-24,557-168,121-258,011-421,247-2,185,573-5,476,211-37,490,983-487,382,779

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