# math

posted by .

the prime factorization in powers of primes of the number: 16380.

5460 to the power of three
is this correct

• math -

5460 is not a prime number. You must keep dividing.

5460 = 10 * 546
~ 10 = 2*5
546 = 6 * 91
~ 6 = 2*3
91 = 7 * 13

So you have 2^2 * 3^2 * 5^1 * 7^1 * 13^1

## Similar Questions

1. ### college math

Suppose 32 = alpha*beta for alpha, beta reatively prime quadratic integers in Q[i] . Show that alpha = epsilon*gamma^2 for some unit epsilon and some quadratic integers gamma in Q[i]. Please help me . I got stuck with it! I'm not an …
2. ### math

You can use the prime factorization of a number, written as the product of powers of prime numbers, to find the number of factors the number has. First, express the number as a product of powers of prime numbers; for example, 36=2 …
3. ### math

You can use the prime factorization of a number, written as the product of powers of prime numbers, to find the number of factors the number has. First, express the number as a product of powers of prime numbers; for example, 36=2 …
4. ### math

my number is a multiple of 5, but doesnt end in 5, the prime factorization of my number is a string three numbers, two of the numbers in the prime factorization are the same, my number is bigger than the seventh square number
5. ### math

You can use the prime factorization of a number, written as the product of powers of prime numbers, to find the number of factors the number has. First, express the number as a product of powers of prime numbers; for example, 36=2^2 …
6. ### math last one help

sally drew a factor tree of a composite number and ended up with 4x4x5x5x3 as the prime factorization. explain what is wrong with this factorization 1. what is the correct prime factorization?
7. ### math(help)

please answer this one question because im clueless lol!!! A number is written with the following factorization:2exponet is 3 multiplied 4 multplied 5. is this factorization a prime factorization?
8. ### Math

A number is written with the following factorization: 22 X 3 X 54 X 8 X 112. Is this factorization a prime factorization?
9. ### 5th Grade Math - Urgent Part II

Sorry my question got cut off. 2 to the 6th power times 5 to the 6th power equals 1,000,000. Is there another number that has the prime factorization 2 to the 6th power times 5 to the 6th power?
10. ### Math

Marta is thinking of a number. The prime factorization of the number is the first eight primes, each used as a factor exactly one. Write the prime factorization and the number.

More Similar Questions

Post a New Question