Q: What are the factor combinations of the number 23,360,771?

 A:
Positive:   1 x 233607717 x 333725317 x 1374163109 x 214319119 x 196309763 x 306171801 x 129711853 x 12607
Negative: -1 x -23360771-7 x -3337253-17 x -1374163-109 x -214319-119 x -196309-763 x -30617-1801 x -12971-1853 x -12607


How do I find the factor combinations of the number 23,360,771?

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 23,360,771, 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 23,360,771
-1 -23,360,771

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 23,360,771.

Example:
1 x 23,360,771 = 23,360,771
and
-1 x -23,360,771 = 23,360,771
Notice both answers equal 23,360,771

With that explanation out of the way, let's continue. Next, we take the number 23,360,771 and divide it by 2:

23,360,771 ÷ 2 = 11,680,385.5

If the quotient is a whole number, then 2 and 11,680,385.5 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 23,360,771
-1 -23,360,771

Now, we try dividing 23,360,771 by 3:

23,360,771 ÷ 3 = 7,786,923.6667

If the quotient is a whole number, then 3 and 7,786,923.6667 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 23,360,771
-1 -23,360,771

Let's try dividing by 4:

23,360,771 ÷ 4 = 5,840,192.75

If the quotient is a whole number, then 4 and 5,840,192.75 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 23,360,771
-1 23,360,771
Keep dividing by the next highest number until you cannot divide anymore.

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

17171091197631,8011,85312,60712,97130,617196,309214,3191,374,1633,337,25323,360,771
-1-7-17-109-119-763-1,801-1,853-12,607-12,971-30,617-196,309-214,319-1,374,163-3,337,253-23,360,771

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