Q: What are the factor combinations of the number 55,440,689?

 A:
Positive:   1 x 5544068917 x 326121719 x 291793137 x 1498397323 x 171643629 x 88141703 x 788634639 x 11951
Negative: -1 x -55440689-17 x -3261217-19 x -2917931-37 x -1498397-323 x -171643-629 x -88141-703 x -78863-4639 x -11951


How do I find the factor combinations of the number 55,440,689?

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 55,440,689, 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 55,440,689
-1 -55,440,689

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 55,440,689.

Example:
1 x 55,440,689 = 55,440,689
and
-1 x -55,440,689 = 55,440,689
Notice both answers equal 55,440,689

With that explanation out of the way, let's continue. Next, we take the number 55,440,689 and divide it by 2:

55,440,689 ÷ 2 = 27,720,344.5

If the quotient is a whole number, then 2 and 27,720,344.5 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 55,440,689
-1 -55,440,689

Now, we try dividing 55,440,689 by 3:

55,440,689 ÷ 3 = 18,480,229.6667

If the quotient is a whole number, then 3 and 18,480,229.6667 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 55,440,689
-1 -55,440,689

Let's try dividing by 4:

55,440,689 ÷ 4 = 13,860,172.25

If the quotient is a whole number, then 4 and 13,860,172.25 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 55,440,689
-1 55,440,689
Keep dividing by the next highest number until you cannot divide anymore.

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

11719373236297034,63911,95178,86388,141171,6431,498,3972,917,9313,261,21755,440,689
-1-17-19-37-323-629-703-4,639-11,951-78,863-88,141-171,643-1,498,397-2,917,931-3,261,217-55,440,689

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