Q: What are the factor combinations of the number 17,400,733?

 A:
Positive:   1 x 174007337 x 248581949 x 35511797 x 179389343 x 50731523 x 33271679 x 256273661 x 4753
Negative: -1 x -17400733-7 x -2485819-49 x -355117-97 x -179389-343 x -50731-523 x -33271-679 x -25627-3661 x -4753


How do I find the factor combinations of the number 17,400,733?

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 17,400,733, 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 17,400,733
-1 -17,400,733

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 17,400,733.

Example:
1 x 17,400,733 = 17,400,733
and
-1 x -17,400,733 = 17,400,733
Notice both answers equal 17,400,733

With that explanation out of the way, let's continue. Next, we take the number 17,400,733 and divide it by 2:

17,400,733 ÷ 2 = 8,700,366.5

If the quotient is a whole number, then 2 and 8,700,366.5 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 17,400,733
-1 -17,400,733

Now, we try dividing 17,400,733 by 3:

17,400,733 ÷ 3 = 5,800,244.3333

If the quotient is a whole number, then 3 and 5,800,244.3333 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 17,400,733
-1 -17,400,733

Let's try dividing by 4:

17,400,733 ÷ 4 = 4,350,183.25

If the quotient is a whole number, then 4 and 4,350,183.25 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 17,400,733
-1 17,400,733
Keep dividing by the next highest number until you cannot divide anymore.

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

1749973435236793,6614,75325,62733,27150,731179,389355,1172,485,81917,400,733
-1-7-49-97-343-523-679-3,661-4,753-25,627-33,271-50,731-179,389-355,117-2,485,819-17,400,733

More Examples

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