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Can you predict the number of factors of any number by writing the prime factorization using exponents then adding one to the exponent and then finding the products of these numbers?
Wiki User
∙ 9y ago
Yes.
Wiki User
∙ 9y ago
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How are factors and exponents related?
An exponent is a number that indicates how many copies of the base are to be multiplied together. An exponent is a number like any other and its factors - if any - are foud in the same way as the factor of any other number.
What is the prime factorization of 4590?
The product of its prime factors in exponents: 2*33*5*17 = 4590
What is the prime factorization of 50 using exponents when repeated factors appears?
2 x 52 = 50
What are prime factorization of 144?
The prime factors of 144 are: 2,3
How do you put prime factors into index form?
Index form means using exponents. Exponents are just a way of notating repeated factors. The prime factorization of 72 is 2 x 2 x 2 x 3 x 3 The prime factorization of 72 is 2^3 x 3^2
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
What are the prime factorization of 10000 using exponents?
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.
