Q: What are the factor combinations of the number 17,150,003?

 A:
Positive:   1 x 1715000313 x 1319231397 x 431993323 x 5161
Negative: -1 x -17150003-13 x -1319231-397 x -43199-3323 x -5161


How do I find the factor combinations of the number 17,150,003?

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 17,150,003, 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 17,150,003
-1 -17,150,003

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 17,150,003.

Example:
1 x 17,150,003 = 17,150,003
and
-1 x -17,150,003 = 17,150,003
Notice both answers equal 17,150,003

With that explanation out of the way, let's continue. Next, we take the number 17,150,003 and divide it by 2:

17,150,003 ÷ 2 = 8,575,001.5

If the quotient is a whole number, then 2 and 8,575,001.5 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 17,150,003
-1 -17,150,003

Now, we try dividing 17,150,003 by 3:

17,150,003 ÷ 3 = 5,716,667.6667

If the quotient is a whole number, then 3 and 5,716,667.6667 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 17,150,003
-1 -17,150,003

Let's try dividing by 4:

17,150,003 ÷ 4 = 4,287,500.75

If the quotient is a whole number, then 4 and 4,287,500.75 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 17,150,003
-1 17,150,003
Keep dividing by the next highest number until you cannot divide anymore.

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

1133973,3235,16143,1991,319,23117,150,003
-1-13-397-3,323-5,161-43,199-1,319,231-17,150,003

More Examples

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