Q: What are the factor combinations of the number 72,669,623?

 A:
Positive:   1 x 7266962313 x 558997119 x 3824717239 x 304057247 x 2942091231 x 590333107 x 233894541 x 16003
Negative: -1 x -72669623-13 x -5589971-19 x -3824717-239 x -304057-247 x -294209-1231 x -59033-3107 x -23389-4541 x -16003


How do I find the factor combinations of the number 72,669,623?

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 72,669,623, 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 72,669,623
-1 -72,669,623

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 72,669,623.

Example:
1 x 72,669,623 = 72,669,623
and
-1 x -72,669,623 = 72,669,623
Notice both answers equal 72,669,623

With that explanation out of the way, let's continue. Next, we take the number 72,669,623 and divide it by 2:

72,669,623 ÷ 2 = 36,334,811.5

If the quotient is a whole number, then 2 and 36,334,811.5 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 72,669,623
-1 -72,669,623

Now, we try dividing 72,669,623 by 3:

72,669,623 ÷ 3 = 24,223,207.6667

If the quotient is a whole number, then 3 and 24,223,207.6667 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 72,669,623
-1 -72,669,623

Let's try dividing by 4:

72,669,623 ÷ 4 = 18,167,405.75

If the quotient is a whole number, then 4 and 18,167,405.75 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 72,669,623
-1 72,669,623
Keep dividing by the next highest number until you cannot divide anymore.

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

113192392471,2313,1074,54116,00323,38959,033294,209304,0573,824,7175,589,97172,669,623
-1-13-19-239-247-1,231-3,107-4,541-16,003-23,389-59,033-294,209-304,057-3,824,717-5,589,971-72,669,623

More Examples

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