Factors of 46

The factors of 46 will be 1, 2, 23, and 46. These are the only numbers which divide 46 evenly without leaving any remainder. And, it always will be in a whole number. These are the only numbers that divide 46 exactly.

Negative Factors of 46: Negative Factors of 46 are -1, -2, -23, and -46.

Prime Factors of 46: 2 and 23

Prime Factorization of 46 :It is expressed as 2×23

The Sum of Factors of 46 : The sum of factors of 46 is 1+ 2 + 23 + 46 =72
 

To find the factors of 46, students need to divide the original number evenly without leaving a remainder. Some methods are explained below for easy solution of factors-

• Multiplication Method

• Division Method

• Prime Factor and Prime Factorization

• Factor Tree

Students need to find pairs of numbers that multiply together to give the original number.

Step 1: Check numbers from 2 up to the square root of the number.

Step 2: To each number, find its pair.

1×46 =46

2×23 =46

3, 4, 5, 6 do not divide 46 evenly.

Therefore, the factors of 46 are 1, 2, 23, and 46.

This method is a process of systematically multiplying different numbers to get the original number.
 

If children get the division in a whole number, then both the divisor and the quotient are factors.

Check numbers from 2 up to the square root of 46, where the square root of 46 is ±6.78. So, you need to check until 6.

46 ÷ 1 =46, both 1 and 46 are factors.

46 ÷ 2 =23, both 2 and 23 are factors.

46 ÷ 3, 4, 5, and 6 won’t result in whole numbers.

Then, the factors of 46 will be 1, 2, 23, and 46.
 

Prime factors are the numbers that divide a given number evenly without a remainder. And, prime factorization is the process of breaking down a number into its prime factors.

Prime Factors of 46 = 2 and 23

Prime Factorization of 46 = 2✕23

Factor Tree: A factor tree is a visual representation of the prime factorization of a number.

= 2 and 23 are the prime building blocks of 46.

Factor Pairs: A factor pair is a combination of two numbers that multiply together to result in a specific value.

Factor a pair of number 46 = 1 and 46 =1✕46 =46

2 and 23 =2✕23 =46

The above numbers are the factor pairs for 46, as 46 only holds few divisors. 

Positive Pair Factors:1 and 46, 2 and 23

Negative Pair Factors: -1 and -46, -2 and -23

• Factor:This is a number that divides another number evenly without leaving any remainder.

• Divisor:It is said to be a number that divides another number evenly without leaving a remainder.

• Composite Number:A number which is greater than one, and it has at least one positive integer other than one and the number itself.

• Multiple: It is a product of the given number and some other integer. 

• Prime Factorization:A method of splitting down a number to its prime factors, which are the smallest numbers that multiply to result in a given number.