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Will prime factorization help find the number of factors of any number?

Write the prime factorization with exponents. Add 1 to each exponent. (Numbers without exponents actually have the exponent 1.) Multiply them together. That will be the number of factors.


What is 1584 in prime factorization with exponent?

As a product of its prime factors in exponents: 24*32*11 = 1584


Can you tell when you have all of the factors for a number before you have built every possible array explain?

If you know the prime factorization of a number, you can tell how many factors it has. Write the prime factorization with exponents. Add 1 to each exponent. (Numbers without exponents actually have the exponent 1.) Multiply them together. That will be the number of factors. 10 = 2 x 5 = 21 x 51 2 x 2 = 4 10 has four factors.


What is the highest exponent in the prime factorization of 1 008?

As a product of its prime factors in exponents: 2^4 times 3^2 times 7 = 1008


What is prime factorization for 165 using exponent?

As a product of its prime factors: 3*5*11 = 165 none of which have exponents


How do you determine the number of divisors using the prime factorization and its exponents?

Write the prime factorization with exponents. Add 1 to each exponent. (Numbers without exponents actually have the exponent 1.) Multiply them together. That will be the number of factors. 10 = 2 x 5 = 21 x 51 2 x 2 = 4 10 has four factors. 72 = 23 x 32 4 x 3 = 12 72 has twelve factors. Square numbers can be tricky. The prime factorization of 9 should be written as 32, not 3 x 3. Adding 1 to the 2 gives you 3. 9 has three factors.


Prime factorization in exponent form?

Exponents are just a shorter way of notating repeated factors. The prime factorization of 72 is 2 x 2 x 2 x 3 x 3 or 23 x 32


What are the prime factors of 94 in exponents?

There are no exponents. The prime factors are 2 and 47, so the factorization is just 2 x 47.


What is the prime factorization of 676 using exponents?

First determine the prime factors. then write in exponent form (power form or index form) thus your answer would be 2^2 x 13^2.


What are the factors and prime factorization of 10000?

As a product of its prime factors in exponents: 24*54 = 10,000


How do you find the number of factors for 60 by adding 1 to the exponent?

The prime factorization of 60 is 22 x 31 x 51Add one to all those exponents and multiply them.3 x 2 x 2 = 1260 has 12 factors.


Can the prime factorization 2x5x13 be written using exponents?

No, none of the factors are repeated.