Q: What are the factor combinations of the number 17,223,073?

 A:
Positive:   1 x 172230737 x 246043931 x 555583139 x 123907217 x 79369571 x 30163973 x 177013997 x 4309
Negative: -1 x -17223073-7 x -2460439-31 x -555583-139 x -123907-217 x -79369-571 x -30163-973 x -17701-3997 x -4309


How do I find the factor combinations of the number 17,223,073?

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 17,223,073, 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 17,223,073
-1 -17,223,073

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 17,223,073.

Example:
1 x 17,223,073 = 17,223,073
and
-1 x -17,223,073 = 17,223,073
Notice both answers equal 17,223,073

With that explanation out of the way, let's continue. Next, we take the number 17,223,073 and divide it by 2:

17,223,073 ÷ 2 = 8,611,536.5

If the quotient is a whole number, then 2 and 8,611,536.5 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 17,223,073
-1 -17,223,073

Now, we try dividing 17,223,073 by 3:

17,223,073 ÷ 3 = 5,741,024.3333

If the quotient is a whole number, then 3 and 5,741,024.3333 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 17,223,073
-1 -17,223,073

Let's try dividing by 4:

17,223,073 ÷ 4 = 4,305,768.25

If the quotient is a whole number, then 4 and 4,305,768.25 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 17,223,073
-1 17,223,073
Keep dividing by the next highest number until you cannot divide anymore.

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

17311392175719733,9974,30917,70130,16379,369123,907555,5832,460,43917,223,073
-1-7-31-139-217-571-973-3,997-4,309-17,701-30,163-79,369-123,907-555,583-2,460,439-17,223,073

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