Q: What are the factor combinations of the number 763,686,077?

 A:
Positive:   1 x 7636860777 x 10909801111 x 6942600777 x 9918001673 x 11347494711 x 1621077403 x 10315914737 x 51821
Negative: -1 x -763686077-7 x -109098011-11 x -69426007-77 x -9918001-673 x -1134749-4711 x -162107-7403 x -103159-14737 x -51821


How do I find the factor combinations of the number 763,686,077?

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 763,686,077, 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.

1 763,686,077
-1 -763,686,077

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 763,686,077.

Example:
1 x 763,686,077 = 763,686,077
and
-1 x -763,686,077 = 763,686,077
Notice both answers equal 763,686,077

With that explanation out of the way, let's continue. Next, we take the number 763,686,077 and divide it by 2:

763,686,077 ÷ 2 = 381,843,038.5

If the quotient is a whole number, then 2 and 381,843,038.5 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:

1 763,686,077
-1 -763,686,077

Now, we try dividing 763,686,077 by 3:

763,686,077 ÷ 3 = 254,562,025.6667

If the quotient is a whole number, then 3 and 254,562,025.6667 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:

1 763,686,077
-1 -763,686,077

Let's try dividing by 4:

763,686,077 ÷ 4 = 190,921,519.25

If the quotient is a whole number, then 4 and 190,921,519.25 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:

1 763,686,077
-1 763,686,077
Keep dividing by the next highest number until you cannot divide anymore.

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

1711776734,7117,40314,73751,821103,159162,1071,134,7499,918,00169,426,007109,098,011763,686,077
-1-7-11-77-673-4,711-7,403-14,737-51,821-103,159-162,107-1,134,749-9,918,001-69,426,007-109,098,011-763,686,077

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