Q: What are the factor combinations of the number 13,001,513?
A:
Positive:
1 x 130015137 x 185735949 x 265337
Negative:
-1 x -13001513-7 x -1857359-49 x -265337
A:
Positive:
1 x 130015137 x 185735949 x 265337
Negative:
-1 x -13001513-7 x -1857359-49 x -265337
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 13,001,513, it is easier to work with a table - it's called factoring from the outside in.
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 | 13,001,513 | |
-1 | -13,001,513 |
When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 13,001,513.
Example:
1 x 13,001,513 = 13,001,513
and
-1 x -13,001,513 = 13,001,513
Notice both answers equal 13,001,513
With that explanation out of the way, let's continue. Next, we take the number 13,001,513 and divide it by 2:
13,001,513 ÷ 2 = 6,500,756.5
If the quotient is a whole number, then 2 and 6,500,756.5 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 | 13,001,513 | |
-1 | -13,001,513 |
Now, we try dividing 13,001,513 by 3:
13,001,513 ÷ 3 = 4,333,837.6667
If the quotient is a whole number, then 3 and 4,333,837.6667 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 | 13,001,513 | |
-1 | -13,001,513 |
Let's try dividing by 4:
13,001,513 ÷ 4 = 3,250,378.25
If the quotient is a whole number, then 4 and 3,250,378.25 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 | 13,001,513 | |
-1 | 13,001,513 |
If you did it right, you will end up with this table:
1 | 7 | 49 | 265,337 | 1,857,359 | 13,001,513 |
-1 | -7 | -49 | -265,337 | -1,857,359 | -13,001,513 |
Here are some more numbers to try:
Try the factor calculator