Q: What are the factor combinations of the number 647,644,067?

 A:
Positive:   1 x 6476440677 x 9252058147 x 13779661329 x 19685231051 x 6162171873 x 3457797357 x 8803113111 x 49397
Negative: -1 x -647644067-7 x -92520581-47 x -13779661-329 x -1968523-1051 x -616217-1873 x -345779-7357 x -88031-13111 x -49397


How do I find the factor combinations of the number 647,644,067?

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 647,644,067, 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.

1 647,644,067
-1 -647,644,067

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 647,644,067.

Example:
1 x 647,644,067 = 647,644,067
and
-1 x -647,644,067 = 647,644,067
Notice both answers equal 647,644,067

With that explanation out of the way, let's continue. Next, we take the number 647,644,067 and divide it by 2:

647,644,067 ÷ 2 = 323,822,033.5

If the quotient is a whole number, then 2 and 323,822,033.5 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:

1 647,644,067
-1 -647,644,067

Now, we try dividing 647,644,067 by 3:

647,644,067 ÷ 3 = 215,881,355.6667

If the quotient is a whole number, then 3 and 215,881,355.6667 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:

1 647,644,067
-1 -647,644,067

Let's try dividing by 4:

647,644,067 ÷ 4 = 161,911,016.75

If the quotient is a whole number, then 4 and 161,911,016.75 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:

1 647,644,067
-1 647,644,067
Keep dividing by the next highest number until you cannot divide anymore.

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

17473291,0511,8737,35713,11149,39788,031345,779616,2171,968,52313,779,66192,520,581647,644,067
-1-7-47-329-1,051-1,873-7,357-13,111-49,397-88,031-345,779-616,217-1,968,523-13,779,661-92,520,581-647,644,067

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