# What is sum of exponents of prime factors of 196?

4 would be the sum of exponents of the prime factors in the prime factorization of 196. Thus, 4 is the sum of exponents of prime factors in the prime factorization of 196.

## How do you find the sum of exponents with prime factors?

Prime factors are those prime numbers which constitute to the formation of a number by multiplication of smaller prime numbers. Hence, the sum of exponents of prime factors in the prime factorization of 250 = 4. If α and β are zeroes of the polynomial 2x²-5x+7 , then find the value of 1/α + 1/β.

## What is the prime factor form of 196?

What are the prime factors of 196? The prime factorisation of 196 is 2 × 2 × 7 × 7 Or 2^2 × 7^2 and the prime factors of 196 are 2 and 7.

## What is the sum of exponents?

To add exponents, both the exponents and variables should be alike. You add the coefficients of the variables leaving the exponents unchanged. Only terms that have same variables and powers are added. This rule agrees with the multiplication and division of exponents as well.

## What are exponents of prime factors?

The exponent of any prime in a factorial is given by, e1 = [n/p1] + [n/p12] + [n/p13] … Here, [.] is the greatest integer function.

## Q1. The sum of exponents of prime factors in the prime factorisation of 196 is (a) 3 (b) 4 (c)

43 related questions found

### What is the sum of exponents of prime factors of 360?

The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 72, 90, 120, 180, 360. By adding up all the factors of 360, the sum will be 1170.

### What is the sum of exponents of prime factors in the prime factorization of 144?

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144. So, the sum of factors of 144 is 403.

### What is sum of exponents of prime factors of 98?

We know that the exponent of a number am is m. The sum of the exponents of prime factors in the prime factorization of 98 is 3.

### What is the sum of the exponents of the prime factors of 240?

The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240. So, the sum of factors of 240 is 744.

### What is the sum of the exponents in the prime factorization of 36?

The sum of all the factors of 36 can be calculated by adding 1, 2, 3, 4, 6, 9, 12, 18, 36 which is 1 + 2 + 3 + 4 + 6 + 9 + 12 + 18 + 36 = 91.

### What are the factors of Root 196?

Square Root of 196 By Prime Factorization Method
• Prime factorization of 196: 22 × 72
• Prime factors of 196 in pairs: (2 × 2) × (7 × 7)
• Now square root of 196: √196 = √(2 × 2) × (7 × 7) √196 = √(2 × 7)2 √196 = (2 × 7) = 14.

### What is the sum of exponents of prime factor in the prime factorization of 96?

Solution: Factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 therefore sum of the factors is 1+ 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 96 = 252.

### What is the sum of the exponents of the prime factors of 130?

Prime factorization of 130 is 2 × 5 × 13. Step-by-step explanation: If we put all of it together we have the factors 2 x 5 x 13 = 130. It can also be written in exponential form as 21 x 51 x 131.

### What is the sum of exponents of prime factors in the prime factorisation in 456?

Factors of 456 are numbers that, when multiplied in pairs give the product as 456. It has total 16 factors of which 456 is the biggest factor and the prime factors of 456 are 2, 3, 19. The sum of all factors of 456 is 1200.

### What is the sum of exponents of the prime factors in the prime factorization of 324?

Answer: 324 is a composite number. The exponents in the prime factorization are 2 and 4. Adding one to each and multiplying we get (2 + 1)(4 + 1) = 3 x 5 = 15.

### What is the sum of exponents of prime factors in the prime factorization of 325?

The sum of all factors of 325 is 434 and its factors in Pairs are (1, 325), (5, 65), (13, 25).

### What is the sum of the exponents of the prime factors in the prime factorization of 120?

The sum of all the factors of 120 can be calculated by adding 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 which is 1 + 2 + 3 + 4 + 5 + 6 + 8 + 10 + 12 + 15 + 20 + 24 + 30 + 40+ 60 + 120 = 360.

### What will be the sum of the exponent of the prime factors of 108?

Sum of the powers = 8 + 4 = 12.

### What is the sum of the prime factors of 420?

Factors of 420 = 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210 and 420. Therefore, sum of factors of 420 are 1 + 2 + 3 + 4 + 5 + 6 + 7 + 10 + 12 + 14 + 15 + 20 + 21 + 28 + 30 + 35 + 42 + 60 + 70 + 84 + 105 + 140 + 210 + 420 = 1344.

### What is the prime factor 100 using exponents?

Answer and Explanation: The prime factorization of 100 is 2 * 2 * 5 * 5. Using exponents, this number can also be written as 2^2 * 5^2.

### What is the exponent power of 2 in the prime factorization of 144?

Therefore, the exponent of 2 in the prime factorization of 144 is 4.

### Is 196 a perfect cube?

The correct Answer is 196 is not a perfect cube.