Question

what is the prime factorization of 105​

Answer 1

Answer:

Factors of 105

The two numbers which get multiplied and produce the result as 105, then these numbers are the factors of 105. The factors of a number divide the original number uniformly.

Factors of 105: 1, 3, 5, 7, 15, 21, 35, 105

For example, the factor pair for number 31 will be (1, 31).

We will use the same factorization method to find the factors and multiples of 105.

In this method we need to first consider the number itself and one as the factors, so 105 and 1is the factors of 105 and then keep finding the factors of 105 which shall give us the number 105.

Pair Factors of 105

To find the pair factors of 105, multiply the 2 numbers in a pair to have the original numbers as 105, such numbers are as follows:

(1, 105)

(3, 35)

(5, 21)

(7,15)

(15,7)

(21,5)

(35,3)

(105,1)

These were the positive pair factors for 105.

Therefore, the factors of 105 are: 1, 3, 5, 7, 15, 21, 35, 105.

Prime Factors of 105

By prime factorisation method, we will get,

105 = 3 x 5 x 7

Therefore, 3, 5 and 7 are the prime factors of 105.

Answer 2

the prime factorization of 105= 5*3*7