In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...). The number of times that each prime divides the original integer becomes its exponent in the final result. In our example, Prime number 29 to the power of 1 equals 29. Prime number 31 to the power of 1 equals 31. |
In order to factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5...). The number of times that each prime divides the original integer becomes its exponent in the final result. In our example, Prime number 7 to the power of 1 equals 7. Prime number 515873 to the power of 1 equals 515873. |
We need to factor the GCF (Greatest Common Factor). The resulting term is a product of the GCF and the original expression divided by the GCF. In our example, the GCF is equal to 7. |
We need to reduce this fraction to the lowest terms. This can be done by dividing out those factors that appear both in the numerator and in the denominator. In our example, this is the common factor: 7. |
We need to reduce this fraction to the lowest terms. This can be done by dividing out those factors that appear both in the numerator and in the denominator. In our example, this is the common factor: 7. |
We need to add fractions. The following rule is applied: AB+CD=LCDBA+LCDDCLCD This example involves 2 terms. Note that 1 non-fractional terms are treated as fractions with denominator equal to 1. The LCD is equal to: 2 |
Let's multiply out the numbers after reduction. In our example, 29·31 becomes 899 |
Number 1 as a factor, does not need to be explicitly written. In other words: 1A=A. In our example, the above transformation has been applied once. |
Number 1 as a factor, does not need to be explicitly written. In other words: 1A=A. In our example, the above transformation has been applied once. |
Number 1 as a factor, does not need to be explicitly written. In other words: 1A=A. In our example, the above transformation has been applied once. |
Any fraction which has its denominator equal to 1 is equal to its numerator. In other words: NUM1=NUM In our example, the numerator is equal to 515873. |
We need to get rid of expression parentheses. If there is a negative sign in front of it, each term within the expression changes sign. Otherwise, the expression remains unchanged. In our example, there are no negative expressions. |
Numerical terms in this expression have been added. |
Any fraction which has its denominator equal to 1 is equal to its numerator. In other words: NUM1=NUM In our example, the numerator is equal to 899·772(π−3)12. |
In order to reduce this fraction we first need to write numerical factors as product of primes. In our example, 5764801 is rewritten as 7·7·7·7·7·7·7·7. |
We need to reduce this fraction to the lowest terms. This can be done by dividing out those factors that appear both in the numerator and in the denominator. In our example, this is the common factor: 7. |
Number 1 as a factor, does not need to be explicitly written. In other words: 1A=A. In our example, the above transformation has been applied once. |
Let's multiply out the numbers after reduction. In our example, 7·7·7·7·7·7·7 becomes 823543 Note that since multiplying by 1 does not change the value of the product, factor 1 can be omitted. |