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What prime factorization of a number is two to the second power times three to the fifth power what is the number?

The number is 972.


What is the prime factorization for 9600?

The prime factorization of the number 9600 would be 2 to the 7th power times 3 times 5 to the 2nd power.


How do you find the number of different factors of number 75600 using permutation and combination?

To find the number of different factors of the number 75600, first, we need its prime factorization. The prime factorization of 75600 is (2^4 \times 3^3 \times 5^2 \times 7^1). To find the total number of factors, use the formula: ((e_1 + 1)(e_2 + 1)(e_3 + 1)(e_4 + 1)), where (e_i) are the exponents in the prime factorization. Thus, the number of factors is ((4+1)(3+1)(2+1)(1+1) = 5 \times 4 \times 3 \times 2 = 120).


What number is a multiple of 5 its prime factorization is a string of three numbers 2 numbers in the prime factorization are the same greater than the seventh square number?

There are a lot of possibilities. The seventh square number is 49. 5 times 5 times any other prime number will be greater than 49. 5 times any pair of prime numbers seven or greater will also satisfy the conditions.


What does the prime factorization of a number mean?

You can think of a factor as a number that divides another number with no remainder. For example, 3 is a factor of 6 since 3 goes into 6 two times with no remainder. Now if the factor is prime, then it is a prime factor. So in the example above, 3 is a prime factor. This is because the factor itself has only two factors, 1 and itself. 6 goes into itself also, but since 6 is not prime, it is not a prime factor. Now that you understand it, here is a more precise definition. A prime factor is a factor that is a prime number. In other words, one of the prime numbers that, when multiplied, give the original number.