Factors of 178

Similarly, as we learned above, factors of 178 are such numbers that will be multiplied to get 178. There are both positive and negative factors of numbers that we will learn as we move ahead in the topic.

178 has only four factors: 1, 2, 89, and 178.

Negative factors of 178: Negative factors are nothing but the negative counterparts of the position factors of a number.

Since 178 has 4 positive factors:  1, 2, 89, and 178, it will also have four negative counterparts, which are -1, -2, -89, and -178.

Prime factors of 178: Since 178 is a composite number, it has 2 and 89 as its prime factor.

Prime factorization of 178: Prime factorization of a number is the method of expressing 178 as a product of prime factors.

The prime factorization of 178 = 2 × 89
 

There are several ways of finding factors of 178. We will learn about them one by one as we go on.
 

In this method, we will try to find such a pair of numbers that will give 178 as their product. We recommend that you should follow the following steps to find factors using multiplication.

Step 1: Always look for a pair of numbers whose product is 178.

Step 2: After finding such pairs, list them all one by one.

Here, factor pairs of 178 are (1, 178), (2, 89) 

So the factors of 178 are 1, 2, 89, and 178.

In the method, we need to find such numbers that divide 178 completely without leaving any remainder.

178/1 = 178

178/ 2 = 89

178/ 89 = 2

178/ 178 = 1

All the 4 numbers:  1, 2, 89, and 178 mentioned above divide 178 completely without any remainder. Hence, they are factors of 178.
 

In the prime factorization method, a number is expressed as the product of prime factors.

Here, as we know, 178 = 2 × 89

 2 and 89 are the prime factors when multiplied together will give 178 as a product of the multiplication.
 

A factor tree is a graphical representation of factors of any number. In the diagram, each branch represents the prime factors a number has.

The factor pairs of a number refer to a pair of numbers which, when multiplied, will give the number as a product.

 The factor pairs of 178 are (1, 178) and (2, 89)

 
Positive Pair Factors of 178 are (1, 178) and (2, 89)

Negative Pair Factors of 178 are (-1, -178) and (- 2, - 89)
 

• Prime Numbers: Those numbers which have no other factors other than 1 & the number itself.

• Composite Numbers: Those numbers that have more than 2 factors.

• Negative Factors: These are the counterparts of the positive factors of a number.

• Prime Factorization: Process of breaking down a composite number into products of several of its prime factors.