Q: What are the factor combinations of the number 23,355,335?

 A:
Positive:   1 x 233553355 x 4671067131 x 178285181 x 129035197 x 118555655 x 35657905 x 25807985 x 23711
Negative: -1 x -23355335-5 x -4671067-131 x -178285-181 x -129035-197 x -118555-655 x -35657-905 x -25807-985 x -23711


How do I find the factor combinations of the number 23,355,335?

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 23,355,335, 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 23,355,335
-1 -23,355,335

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 23,355,335.

Example:
1 x 23,355,335 = 23,355,335
and
-1 x -23,355,335 = 23,355,335
Notice both answers equal 23,355,335

With that explanation out of the way, let's continue. Next, we take the number 23,355,335 and divide it by 2:

23,355,335 ÷ 2 = 11,677,667.5

If the quotient is a whole number, then 2 and 11,677,667.5 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 23,355,335
-1 -23,355,335

Now, we try dividing 23,355,335 by 3:

23,355,335 ÷ 3 = 7,785,111.6667

If the quotient is a whole number, then 3 and 7,785,111.6667 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 23,355,335
-1 -23,355,335

Let's try dividing by 4:

23,355,335 ÷ 4 = 5,838,833.75

If the quotient is a whole number, then 4 and 5,838,833.75 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 23,355,335
-1 23,355,335
Keep dividing by the next highest number until you cannot divide anymore.

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

1513118119765590598523,71125,80735,657118,555129,035178,2854,671,06723,355,335
-1-5-131-181-197-655-905-985-23,711-25,807-35,657-118,555-129,035-178,285-4,671,067-23,355,335

More Examples

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