Q: What are the factor combinations of the number 15,382,003?

 A:
Positive:   1 x 153820037 x 219742913 x 118323143 x 35772191 x 169033301 x 51103559 x 275173913 x 3931
Negative: -1 x -15382003-7 x -2197429-13 x -1183231-43 x -357721-91 x -169033-301 x -51103-559 x -27517-3913 x -3931


How do I find the factor combinations of the number 15,382,003?

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 15,382,003, 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 15,382,003
-1 -15,382,003

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 15,382,003.

Example:
1 x 15,382,003 = 15,382,003
and
-1 x -15,382,003 = 15,382,003
Notice both answers equal 15,382,003

With that explanation out of the way, let's continue. Next, we take the number 15,382,003 and divide it by 2:

15,382,003 ÷ 2 = 7,691,001.5

If the quotient is a whole number, then 2 and 7,691,001.5 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 15,382,003
-1 -15,382,003

Now, we try dividing 15,382,003 by 3:

15,382,003 ÷ 3 = 5,127,334.3333

If the quotient is a whole number, then 3 and 5,127,334.3333 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 15,382,003
-1 -15,382,003

Let's try dividing by 4:

15,382,003 ÷ 4 = 3,845,500.75

If the quotient is a whole number, then 4 and 3,845,500.75 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 15,382,003
-1 15,382,003
Keep dividing by the next highest number until you cannot divide anymore.

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

171343913015593,9133,93127,51751,103169,033357,7211,183,2312,197,42915,382,003
-1-7-13-43-91-301-559-3,913-3,931-27,517-51,103-169,033-357,721-1,183,231-2,197,429-15,382,003

More Examples

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