Q: What are the factor combinations of the number 77,413,609?

 A:
Positive:   1 x 774136097 x 1105908713 x 595489367 x 115542791 x 850699469 x 165061871 x 888796097 x 12697
Negative: -1 x -77413609-7 x -11059087-13 x -5954893-67 x -1155427-91 x -850699-469 x -165061-871 x -88879-6097 x -12697


How do I find the factor combinations of the number 77,413,609?

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 77,413,609, 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 77,413,609
-1 -77,413,609

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 77,413,609.

Example:
1 x 77,413,609 = 77,413,609
and
-1 x -77,413,609 = 77,413,609
Notice both answers equal 77,413,609

With that explanation out of the way, let's continue. Next, we take the number 77,413,609 and divide it by 2:

77,413,609 ÷ 2 = 38,706,804.5

If the quotient is a whole number, then 2 and 38,706,804.5 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 77,413,609
-1 -77,413,609

Now, we try dividing 77,413,609 by 3:

77,413,609 ÷ 3 = 25,804,536.3333

If the quotient is a whole number, then 3 and 25,804,536.3333 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 77,413,609
-1 -77,413,609

Let's try dividing by 4:

77,413,609 ÷ 4 = 19,353,402.25

If the quotient is a whole number, then 4 and 19,353,402.25 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 77,413,609
-1 77,413,609
Keep dividing by the next highest number until you cannot divide anymore.

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

171367914698716,09712,69788,879165,061850,6991,155,4275,954,89311,059,08777,413,609
-1-7-13-67-91-469-871-6,097-12,697-88,879-165,061-850,699-1,155,427-5,954,893-11,059,087-77,413,609

More Examples

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