Q: What are the factor combinations of the number 77,004,739?

 A:
Positive:   1 x 770047397 x 1100067719 x 4052881133 x 578983197 x 3908871379 x 558412939 x 262013743 x 20573
Negative: -1 x -77004739-7 x -11000677-19 x -4052881-133 x -578983-197 x -390887-1379 x -55841-2939 x -26201-3743 x -20573


How do I find the factor combinations of the number 77,004,739?

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 77,004,739, 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 77,004,739
-1 -77,004,739

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 77,004,739.

Example:
1 x 77,004,739 = 77,004,739
and
-1 x -77,004,739 = 77,004,739
Notice both answers equal 77,004,739

With that explanation out of the way, let's continue. Next, we take the number 77,004,739 and divide it by 2:

77,004,739 ÷ 2 = 38,502,369.5

If the quotient is a whole number, then 2 and 38,502,369.5 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 77,004,739
-1 -77,004,739

Now, we try dividing 77,004,739 by 3:

77,004,739 ÷ 3 = 25,668,246.3333

If the quotient is a whole number, then 3 and 25,668,246.3333 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 77,004,739
-1 -77,004,739

Let's try dividing by 4:

77,004,739 ÷ 4 = 19,251,184.75

If the quotient is a whole number, then 4 and 19,251,184.75 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 77,004,739
-1 77,004,739
Keep dividing by the next highest number until you cannot divide anymore.

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

17191331971,3792,9393,74320,57326,20155,841390,887578,9834,052,88111,000,67777,004,739
-1-7-19-133-197-1,379-2,939-3,743-20,573-26,201-55,841-390,887-578,983-4,052,881-11,000,677-77,004,739

More Examples

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