There are no exponents needed. The prime factorization of 102 is: 2 x 3 x 17
The exponent tells us how many times a number is used as a factor.
The exponent
The exponent
The exponent.
We'd be glad to if you would tell us what the number is.
The exponent tells us how many times the base is used as a factor.
The exponent tells us how many times we can divide the factor.For example: 192 = 26*3 tells us we can divide 192 by 2 six times, but by 3 only once.
Prime factorization is a way to express every composite number as the product of prime numbers(or prime factors). Let us consider the number 100. Prime factorization of 100 = 2 x 2 x 5 x 5. It can be seen that there are two distinct prime factors: 2 and 5. And 5 is the greatest prime factor. 100 can be expressed as 2 x 50. The only prime factor we have in this expression is 2 and this makes us to think that 2 is the only prime factor of 100, which is untrue. So with the help of prime factorization it is possible to find all the prime factors and the greatest prime factor.
To determine what goes into both 176 and 132 evenly, we need to find the greatest common factor (GCF) of the two numbers. The prime factorization of 176 is 2^4 * 11, and the prime factorization of 132 is 2^2 * 3 * 11. To find the GCF, we identify the common prime factors and take the smallest exponent for each factor, which gives us 2^2 * 11 = 44. Therefore, 44 is the largest number that goes into both 176 and 132 evenly.
Exponent
All prime numbers are special numbers because they help us to find the lowest common multiple of numbers and their highest common factor.
The rule that allows us to change the sign of an exponent is called the "negative exponent rule." This rule states that for any non-zero number ( a ) and integer ( n ), ( a^{-n} = \frac{1}{a^n} ). Essentially, a negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent.