Question

prime factorization of 3750 in witten format
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Answer 1

Prime Factorization

Explanation:

Factorization:

It is a method of writing a number or another mathematical object as a product of several factors. It can be used for many things, like performing arithmetic operations.

Prime Factorization:

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself.

$3750=2\times3\times5\times5\times5\times5\\\\3750=2^{1}\times 3^{1}\times 5^{4}$

So, as 2, 3, 5 are prime number and 3750 has been expressed as factors of these primes numbers.

Hence, $3750=2^{1}\times 3^{1}\times 5^{4}$ is the required answer.

Answer 2

2 × 3 × 5⁴

Factorization:

• Factorization is the process of reducing the brackets of a quadratic equation or any Polynomial equation.

• Instead of expanding the brackets of given equations, It reduces the bracket and convert the equation to a product of factors which cannot be reduced further.

• → (i.e.) The process of reducing the brackets by finding its final factors.

Step-by-step explanation:

Prime Factorization:

• when a number is expressed as the product of its prime factors, it is called Prime Factorization.

• Here the given number is 3750 = 2 × 3 × 5 × 5 × 5 × 5

                                                              = 2 × 3 × 5⁴

• The prime factor the Factors of 3750 = 2 × 3 × 5⁴ (because it is prime numbers).
• Therefor the prime factors of 3750 is  2 × 3 × 5⁴.