Q: What are the factor combinations of the number 77,346,775?

 A:
Positive:   1 x 773467755 x 1546935511 x 703152525 x 309387155 x 1406305137 x 564575275 x 281261685 x 1129151507 x 513252053 x 376753425 x 225837535 x 10265
Negative: -1 x -77346775-5 x -15469355-11 x -7031525-25 x -3093871-55 x -1406305-137 x -564575-275 x -281261-685 x -112915-1507 x -51325-2053 x -37675-3425 x -22583-7535 x -10265


How do I find the factor combinations of the number 77,346,775?

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 77,346,775, 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 77,346,775
-1 -77,346,775

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 77,346,775.

Example:
1 x 77,346,775 = 77,346,775
and
-1 x -77,346,775 = 77,346,775
Notice both answers equal 77,346,775

With that explanation out of the way, let's continue. Next, we take the number 77,346,775 and divide it by 2:

77,346,775 ÷ 2 = 38,673,387.5

If the quotient is a whole number, then 2 and 38,673,387.5 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 77,346,775
-1 -77,346,775

Now, we try dividing 77,346,775 by 3:

77,346,775 ÷ 3 = 25,782,258.3333

If the quotient is a whole number, then 3 and 25,782,258.3333 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 77,346,775
-1 -77,346,775

Let's try dividing by 4:

77,346,775 ÷ 4 = 19,336,693.75

If the quotient is a whole number, then 4 and 19,336,693.75 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 77,346,775
-1 77,346,775
Keep dividing by the next highest number until you cannot divide anymore.

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

151125551372756851,5072,0533,4257,53510,26522,58337,67551,325112,915281,261564,5751,406,3053,093,8717,031,52515,469,35577,346,775
-1-5-11-25-55-137-275-685-1,507-2,053-3,425-7,535-10,265-22,583-37,675-51,325-112,915-281,261-564,575-1,406,305-3,093,871-7,031,525-15,469,355-77,346,775

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