Q: What are the factor combinations of the number 17,333,743?

 A:
Positive:   1 x 173337437 x 247624923 x 75364131 x 559153151 x 114793161 x 107663217 x 79879529 x 32767713 x 243111057 x 163993473 x 49913703 x 4681
Negative: -1 x -17333743-7 x -2476249-23 x -753641-31 x -559153-151 x -114793-161 x -107663-217 x -79879-529 x -32767-713 x -24311-1057 x -16399-3473 x -4991-3703 x -4681


How do I find the factor combinations of the number 17,333,743?

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 17,333,743, 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 17,333,743
-1 -17,333,743

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 17,333,743.

Example:
1 x 17,333,743 = 17,333,743
and
-1 x -17,333,743 = 17,333,743
Notice both answers equal 17,333,743

With that explanation out of the way, let's continue. Next, we take the number 17,333,743 and divide it by 2:

17,333,743 ÷ 2 = 8,666,871.5

If the quotient is a whole number, then 2 and 8,666,871.5 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 17,333,743
-1 -17,333,743

Now, we try dividing 17,333,743 by 3:

17,333,743 ÷ 3 = 5,777,914.3333

If the quotient is a whole number, then 3 and 5,777,914.3333 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 17,333,743
-1 -17,333,743

Let's try dividing by 4:

17,333,743 ÷ 4 = 4,333,435.75

If the quotient is a whole number, then 4 and 4,333,435.75 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 17,333,743
-1 17,333,743
Keep dividing by the next highest number until you cannot divide anymore.

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

1723311511612175297131,0573,4733,7034,6814,99116,39924,31132,76779,879107,663114,793559,153753,6412,476,24917,333,743
-1-7-23-31-151-161-217-529-713-1,057-3,473-3,703-4,681-4,991-16,399-24,311-32,767-79,879-107,663-114,793-559,153-753,641-2,476,249-17,333,743

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