Q: What are the factor combinations of the number 77,413,985?

 A:
Positive:   1 x 774139855 x 1548279711 x 703763555 x 1407527121 x 639785199 x 389015605 x 127957643 x 120395995 x 778032189 x 353653215 x 240797073 x 10945
Negative: -1 x -77413985-5 x -15482797-11 x -7037635-55 x -1407527-121 x -639785-199 x -389015-605 x -127957-643 x -120395-995 x -77803-2189 x -35365-3215 x -24079-7073 x -10945


How do I find the factor combinations of the number 77,413,985?

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 77,413,985, 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 77,413,985
-1 -77,413,985

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 77,413,985.

Example:
1 x 77,413,985 = 77,413,985
and
-1 x -77,413,985 = 77,413,985
Notice both answers equal 77,413,985

With that explanation out of the way, let's continue. Next, we take the number 77,413,985 and divide it by 2:

77,413,985 ÷ 2 = 38,706,992.5

If the quotient is a whole number, then 2 and 38,706,992.5 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 77,413,985
-1 -77,413,985

Now, we try dividing 77,413,985 by 3:

77,413,985 ÷ 3 = 25,804,661.6667

If the quotient is a whole number, then 3 and 25,804,661.6667 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 77,413,985
-1 -77,413,985

Let's try dividing by 4:

77,413,985 ÷ 4 = 19,353,496.25

If the quotient is a whole number, then 4 and 19,353,496.25 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 77,413,985
-1 77,413,985
Keep dividing by the next highest number until you cannot divide anymore.

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

1511551211996056439952,1893,2157,07310,94524,07935,36577,803120,395127,957389,015639,7851,407,5277,037,63515,482,79777,413,985
-1-5-11-55-121-199-605-643-995-2,189-3,215-7,073-10,945-24,079-35,365-77,803-120,395-127,957-389,015-639,785-1,407,527-7,037,635-15,482,797-77,413,985

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