Q: What are the factor combinations of the number 787,370,815?

 A:
Positive:   1 x 7873708155 x 1574741637 x 11248154511 x 7157916535 x 2249630955 x 1431583377 x 10225595181 x 4350115385 x 2045119905 x 8700231267 x 6214451991 x 3954656335 x 1242899955 x 7909311299 x 6968513937 x 56495
Negative: -1 x -787370815-5 x -157474163-7 x -112481545-11 x -71579165-35 x -22496309-55 x -14315833-77 x -10225595-181 x -4350115-385 x -2045119-905 x -870023-1267 x -621445-1991 x -395465-6335 x -124289-9955 x -79093-11299 x -69685-13937 x -56495


How do I find the factor combinations of the number 787,370,815?

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 787,370,815, 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.

1 787,370,815
-1 -787,370,815

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 787,370,815.

Example:
1 x 787,370,815 = 787,370,815
and
-1 x -787,370,815 = 787,370,815
Notice both answers equal 787,370,815

With that explanation out of the way, let's continue. Next, we take the number 787,370,815 and divide it by 2:

787,370,815 ÷ 2 = 393,685,407.5

If the quotient is a whole number, then 2 and 393,685,407.5 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:

1 787,370,815
-1 -787,370,815

Now, we try dividing 787,370,815 by 3:

787,370,815 ÷ 3 = 262,456,938.3333

If the quotient is a whole number, then 3 and 262,456,938.3333 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:

1 787,370,815
-1 -787,370,815

Let's try dividing by 4:

787,370,815 ÷ 4 = 196,842,703.75

If the quotient is a whole number, then 4 and 196,842,703.75 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:

1 787,370,815
-1 787,370,815
Keep dividing by the next highest number until you cannot divide anymore.

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

157113555771813859051,2671,9916,3359,95511,29913,93756,49569,68579,093124,289395,465621,445870,0232,045,1194,350,11510,225,59514,315,83322,496,30971,579,165112,481,545157,474,163787,370,815
-1-5-7-11-35-55-77-181-385-905-1,267-1,991-6,335-9,955-11,299-13,937-56,495-69,685-79,093-124,289-395,465-621,445-870,023-2,045,119-4,350,115-10,225,595-14,315,833-22,496,309-71,579,165-112,481,545-157,474,163-787,370,815

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