Question

How do you write the prime factorization of 46?

Answer 1

Hint: A number that is not divisible by any other number except 1 and itself is known as a prime number. For example, 5 is not divisible by any number other than 1 and 5. And prime factorization of a number means to express the given number as a product of the prime factors, that is, the product of the numbers that are prime numbers and divide the given number completely. We can find out the correct answer using this information.

Complete step-by-step solution:
Prime factorization is the process of finding the prime numbers, which are multiplied together to get the original number. We have to do prime factorization of 46, as it is an even number so it is divisible by 2 which is a prime number.

Now consider the given number which is 46

2	46
	23

When we divide the number 46 by 2, the quotient will be 23, this a prime number and on further we can’t simplify
Therefore the prime factorisation of 46 is given as \[46 = 2 \times 23\]

Note: By factoring a number we mean to express it as a product of two numbers or it can also be defined as the division of a given number by some other number such that the remainder is zero. Usually, negative factors of a number are not considered and the fractions can never be considered as a factor of a number. Factors of a number are defined as all the possible sets of two numbers whose product is equal to the given number. Thus we should remember the difference between a factor and prime factor and solve a question by keeping the mentioned information in mind.