What is a product of prime factors?

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What is a product of prime factors?

Writing a Product of Prime Factors When a composite number is written as a product of all of its prime factors, we have the prime factorization of the number. For example, we can write the number 72 as a product of prime factors: 72 = 2 3 ⋅ 3 2 . The expression 2 3 ⋅ 3 2 is said to be the prime factorization of 72.

What is 114 as a product of its prime factors?

Solution: Since, the prime factors of 114 are 2, 3, 19. Therefore, the product of prime factors = 2 × 3 × 19 = 114.

What is the sum of the factors of 144?

Answer: Why is 403 the sum of all factors of 144, including 144? The factors of the number 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144. If you add them up, you will get the total of 403.

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What is the prime factorization for 144 using exponents?

The prime factorization of 144 using exponents is 24×32 2 4 × 3 2 .

How is 140 expressed as a product of its prime factors?

A factor which is prime in its value is called prime factors. So, the prime factors of 140 are (2,5,7) and the product can be expressed as $140=2\times 2\times 5\times 7$.

What are prime factors of 140?

Let’s learn more about factors of 140, factors of 140 in pairs and the prime factors of 140.

  • Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70 and 140.
  • Prime Factorization of 140: 2 × 2 × 7 × 5.

What are the factors of 140?

Factors of 140

  • Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70 and 140.
  • Prime Factorization of 140: 2 × 2 × 7 × 5.

What is the HCF of 144 and 198?

18
Answer: HCF of 144 and 198 is 18.

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Is 144 a factor?

Factors of 144: 1, 4, 2, 3, 6, 8, 16, 9, 12, 18, 24, 36, 48, 72, 144. Prime factorization: 144 = 2 x 2 x 2 x 2 x 3 x 3.

What are the multiples of 144?

Multiples of 144: 144, 288, 432, 576, 720, 864, 1008, 1152, 1296, 1440 and so on.

What is the division method of 144?

12 divides 144 exactly without leaving a remainder, 12 is a factor of 144.

What is the product of 140?

The pairs of numbers that when multiplied together make 140 are the factors of 140. 1 × 140, 2 × 70 , 4 × 35 , 5 × 28 , 7 × 20, 10 × 14 are the pairs that make 140 and they are all the factors of 140.

How many factors does 144 have and what are they?

When calculated and counted, we concluded that the number 144 has 15 positive as well as 15 negative factors. Thus, there are 30 factors of 144 in total. The exponential form is a compact way of representing a number. For example, instead of writing 2 × 2 × 2 × 2 = 16, we can always express it as 24.

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What is the greatest common factor of 144?

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72 and 144. The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98 and 196. So, the Greatest Common Factor for these numbers is 4 because it divides all them without a remainder.

What are the common factors of 144 and 100?

Detailed Answer: The Greatest Common Factor (GCF) for 100 and 144, notation CGF (100,144), is 4. Explanation: The factors of 100 are 1,2,4,5,10,20,25,50,100; The factors of 144 are 1,2,3,4,6,8,9,12,16,18,24,36,48,72,144.

What is the prime factorization from 1 to 144?

It is possible to find the exact number of factors of a number 144 with the help of prime factorisation. The prime factor of the 144 is 24 x 32. The exponents in the prime factorisation are 4 and 2. Add the number 1 with the exponents and multiply it. (4+1) (2+1) = 5 x 3 = 15. Therefore, the number 144 has 15 factors.