Factors of 46 are integers that can be divided evenly into 46. It has a total of 4 factors of which 46 is the biggest factor and the positive factors of 46 are 1, 2, 23 and 46. The sum of all factors of 46 is 72. Its Prime Factors are 1, 2, 23, 46 and (1, 46) and (2, 23) are Pair Factors.

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Factors of 46: 1, 2, 23 and 46Negative Factors of 46: -1, -2, -23 and -46Prime Factors of 46: 2, 23Prime Factorization of 46: 2 × 23 = 2 × 23Sum of Factors of 46: 72
1.What Are the Factors of 46?
2.How to Calculate Factors of 46?
3.Factors of 46 by Prime Factorization
4.Factors of 46 in Pairs
5.FAQs on Factors of 46

What Are the Factors of 46?

Factors of 46 are numbers which, on dividing 46, leave no remainder.

Numbers that easily divide 46 without a remainder are the factors of 46.

Since 46 is a composite number, it has more than two factors.

Factors of 46 = 1, 2, 23, 46


Important Notes

There are only two-factor pairs of 46.2 and 23 are the prime factors of 46.

How to Calculate the Factors of 46?


Let us calculate the factors of 46.

In considering numbers that can divide 46 without remainders, we start with 1, then check 2, 3... up to 23 (which is exactly half of 46).

DividingResults

46 ÷ 1 = 46

Gives remainder 0

Therefore 1 is a factor.

46 ÷ 2 = 23

Gives remainder 0

Therefore 2 is a factor.

46 ÷ 23 = 2

Gives remainder 0

Therefore 23 is a factor.

46 ÷ 46 = 1

Gives remainder 0

Therefore 46 is a factor.


Factors of 46 by Prime Factorization

Prime factorization of a number refers to representing a number in the form of products of its prime factors.

Prime factors of any number can be found out by the following methods:

 Method 1: Division method

Let us find the prime factors of 46 by the division method.

Divide the number 46 with the smallest prime number, i.e., 2.46 ÷ 2 = 23

Now, try and divide 23 by 2.

As 23 is a prime number, it can only be divided by itself.

Again, divide 23 by 23.

23 ÷ 23 = 1

We have reached at 1 and cannot proceed any further with the division method.

So prime factorization of the number 46 by division method:

46 = 2 × 23

where 2 and 23 are prime numbers.

Method 2: Factor tree

We will do this by factor tree:

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Prime factors of 46 are 46 = 2 x 23

Further, find the products of the multiples in different orders to obtain the composite factors of the number.

Thus, all the factors of 46, including both prime and composite numbers, can be written as 1, 2, 23, and 46.


Factors of 46 in Pairs 


The pair factors of 56 are obtained by writing 46 as a product of two numbers in all possible ways.

In each product, both multiplicands are the factors of 46.

Product that Results in 46

Pair Factors of 46

1 x 46

(1, 46)

2 x 23

(2, 23)

-1 x -46

(-1,-46)

-2 x -23

(-2, -23)

Solved Examples


Example 1 What is the sum of all the composite factors of 46, including 46?

Solution

Factors of 46 = 1, 2, 23, and 46

2 and 23 are prime numbers and 1 is not a composite number.

Therefore, only 46 is the composite factor of 46 and sum = 46.


Example 2 Write all the factors of 46 which are also the factors of 92.

Solution

Factors of 46 = 1, 2, 23, and 46

And, factors of 92 = 1, 2, 4, 23, 46, and 92

Therefore, 1, 2, 23, and 46 are the common factors of 46 and 92.


Example 3: Find the product of all the prime factors of 46.

Solution:

Since, the prime factors of 46 are 2, 23. Therefore, the product of prime factors = 2 × 23 = 46.


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FAQs on Factors of 46

What are the Factors of 46?

The factors of 46 are 1, 2, 23, 46 and its negative factors are -1, -2, -23, -46.

What is the Greatest Common Factor of 46 and 18?

The factors of 46 and 18 are 1, 2, 23, 46 and 1, 2, 3, 6, 9, 18 respectively.Common factors of 46 and 18 are <1, 2>.Hence, the GCF of 46 and 18 is 2.

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What is the Sum of all the Factors of 46?

All the Factors of 46 are 1, 2, 23, 46 and therefore the sum of all these factors is 1 + 2 + 23 + 46 = 72

How Many Factors of 46 are also Factors of 3?

Since, the factors of 46 are 1, 2, 23, 46 and factors of 3 are 1, 3. Hence, 46 and 3 have only one common factor which is 1. Therefore, 46 and 3 are co-prime.