Factors Of 42

 Factors almost often come in pairs. There are several methods to figure them out, which you'll be learning in the following section. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.
 

For finding factors, kids can use different methods for easier calculations. A few commonly used methods are as follows:

• Use of Multiplication Method
• Use of Division Method
• Use of Prime Factors and Prime Factorization

So, here we discuss a detailed explanation of the following methods:
 

In the multiplication method, we will try to find out the numbers that multiply together to give the value, 42, We will check the factors step by step:

Step 1: Start to multiply with numbers, which gives the value of 42.

Start with 1, and continue to multiply with other numbers. 

1 ×  42  = 42
2 ×  21  = 42
3 ×  14  = 42
6 ×  7   = 42

Step 2: After the calculation, we get to these numbers, the factors of 42.

Step 3: The positive factor pairs of 42 found through multiplication are (1, 42), (2, 21), (3, 14), and (6, 7)

Step 4: The negative factor pairs of 274 are (-1, -42), (-2, -21), (-3, -14), and (-6, -7)
 

Using this method we will break down the given number till our remainder is zero. Let us go through the step-by-step process to find the factors of 42:

Step 1: Divide 42 by smaller numbers and see if there is any remainder. E.g., 42/1 = 42. 

Step 2: We will continue in the same way and check for other numbers as well. For 42, the factors are 1, 2, 3, 6, 7, 14, 21, and 42. Because 42 can be divided evenly by these numbers.
 

In the prime factorization method, we break down a number into its prime factor. The prime factors of 42 are 2, 3, and 7. The prime factors can be found using the methods given below:

2 is the smallest prime number, so start dividing with two. And then continue to divide with other prime numbers.

42 ÷ 2 =21
21 ÷ 3 = 7
7 ÷ 7 = 1

 The prime factorization of 42 is :

 42= 2¹ × 3¹ × 7¹

With prime factorization, 42 can be broken down into prime factors, 2, 3, and 7.
 

A factor tree is a graphical representation of breaking a composite number into its prime factors. It is an easy method to find out the factors of any number.

Step 1: 42 divided by 2 gives us the quotient 21.

Step 2: Since 21 is not a prime number, it can be divided further.

42 ÷ 2 =21
21 ÷ 3 = 7
7 ÷ 7 = 1

 The prime factorization of 42 is: 42 = 2¹ × 3¹ × 7¹.
 

Every number has both positive and negative factors. Let us look at those sets of factors.

Positive pair Factors: (1, 42), (2, 21), (3, 14), and (6, 7)
Negative pair Factors:  (-1, -42), (-2, -21), (-3, -14), and (-6, -7)
 

• Factors: Factors are numbers that divide a given number exactly, without any remainder. For example, 6 is divisible by 1, 2, 3, and 6. Therefore, 1, 2, 3, and 6 are the factors of 6.

• Prime Factors: Prime factors of the numbers that multiply together to give a certain product. For 42 the prime factors are 2, 3, and 7.

• Multiples: We get multiples when we multiply a number by another number. Let’s take some multiples of 2 (2, 4, 6, and so on).