Q: What are the factor combinations of the number 77,627,563?

 A:
Positive:   1 x 7762756313 x 597135153 x 146467161 x 1272583689 x 112667793 x 978911847 x 420293233 x 24011
Negative: -1 x -77627563-13 x -5971351-53 x -1464671-61 x -1272583-689 x -112667-793 x -97891-1847 x -42029-3233 x -24011


How do I find the factor combinations of the number 77,627,563?

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 77,627,563, 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 77,627,563
-1 -77,627,563

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 77,627,563.

Example:
1 x 77,627,563 = 77,627,563
and
-1 x -77,627,563 = 77,627,563
Notice both answers equal 77,627,563

With that explanation out of the way, let's continue. Next, we take the number 77,627,563 and divide it by 2:

77,627,563 ÷ 2 = 38,813,781.5

If the quotient is a whole number, then 2 and 38,813,781.5 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 77,627,563
-1 -77,627,563

Now, we try dividing 77,627,563 by 3:

77,627,563 ÷ 3 = 25,875,854.3333

If the quotient is a whole number, then 3 and 25,875,854.3333 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 77,627,563
-1 -77,627,563

Let's try dividing by 4:

77,627,563 ÷ 4 = 19,406,890.75

If the quotient is a whole number, then 4 and 19,406,890.75 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 77,627,563
-1 77,627,563
Keep dividing by the next highest number until you cannot divide anymore.

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

11353616897931,8473,23324,01142,02997,891112,6671,272,5831,464,6715,971,35177,627,563
-1-13-53-61-689-793-1,847-3,233-24,011-42,029-97,891-112,667-1,272,583-1,464,671-5,971,351-77,627,563

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