Factors of 46 | Prime factors of 46 with a Detailed Explanation (2023)

When multiplying 2 and 8, we get 16, i.e. 2 × 8 = 16. Here, 2 and 8 are the factors of 16. In the same way, we can find the factors of the number 46. Factors of 46 are defined as the numbers (including both positive and negative numbers), which get multiplied and produce the result as 46. In this article, you will understand the factors of 46, how to find the factors of a number 46 and prime factors of 46 in detailed steps.

What are the Factors of 46?

Factors of 46 are all the integers that we can evenly divide 46 into specific numbers. As we know, any number divided by its factor will be equal to one of the other factors. Thus, when we divide 46 with its factor, it will be equal to another factor.

We know that 46 is a composite number, that means it has more than two factors. Thus, 46 contains other factors apart from 1 and 46.

 Factors of 46 1, 2, 23, and 46

Therefore, the factors of 46 are the exact divisors of that number.

How to Calculate the Factors of 46?

Below are the steps to find the factors for 46.

Step 1: First, write the number 46 in your notebook.

Step 2: Find the two numbers, which on multiplication gives 46, say 2 and 23, such as 2 × 23 = 46.

Step 3: We know that 2 is a prime number which has only two factors, i.e. 1 and the number itself. So, we cannot factorize it further.

2 = 1 × 2

(Video) Factor of 46|How to find factors of 46|Find factors of 46|How do you find factors of 46|46 factors

Step 4: 23 is also a prime number and cannot be factorized.

23 = 1 × 23

Step 5: Therefore, the factorization of 46 gives us 1 × 2 × 23.

The unique numbers which are obtained here are: 1, 2, 23 and 46

Factor pairs of 46

To find the pair factors of 46, multiply the 2 numbers in a pair to have the original number as 46. Such numbers are as follows:

 Positive factor pairs Negative factor pairs 1 × 46 = 46; (1, 46) (-1) × (-46) = 46 2 × 23 = 46; (2, 23) (-2) × (-23) = 46 23 × 2 = 46; (23, 2) (-23) × (-2) = 46 46 × 1 = 46; (46, 1) (-46) × (-1) = 46

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

Also, the negative pair factors of 46 are (-1, -46), (-2, -23), (-23, -2), and (-46, -1).

Hence, the negative factors of the number 46 are -1, -2, -23, and -46.

(Video) Factors Of 46

Interesting Facts about Factors of 46:

• The sum of all factors of 46 is 72, i.e. 1 + 2 + 23 + 46 = 72.
• The number 46 contains only one even factor other than 46 and only one odd factor other than 1.
• The product of all the factors of 46 is equal to the square of 46, that means 1 × 2 × 23 × 46 = 46 × 46 = 462 = 2116.

How to calculate Prime Factors of 46?

By prime factorization method, we can write the prime factors of 46 as given below.

The first step is to divide the number 46 with the smallest prime number, i.e. 2.

46 ÷ 2 = 23

Here, 2 and 23 are the prime numbers, so we cannot proceed with the division method.

Thus, the prime factorisation of 46 can be written as 2 × 23.

Video Lesson on Prime Factors

Get Factors of more Numbers Here

 Factors of 30 Factors of 32 Factors of 35 Factors of 36 Factors of 40 Factors of 42 Factors of 45 Factors of 48 Factors of 49 Factors of 50 Factors of 54 Factors of 56

(Video) Factor Tree of 46|Prime Factorization of 46

Frequently Asked Questions on Factors of 46

What are the multiples of 46?

The multiples of 46 include: 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, etc.,

How do you find a factor?

We can find a factor in three different ways, viz division method, factorisation method and writing the numbers as a product of factor pairs.

What is the greatest factor of 46?

We know that there are four integers as the factors of 46, i.e. 1, 2, 23, 46 are the factors of 46. Therefore, the greatest factor of 46 is 46.

(Video) Factors of 46

What is the factor of 47?

As we know, 47 is a prime number, the factors of 47 are one and the number itself, i.e. 1 and 47.

Is 47 a perfect square?

No, 47 is not a perfect square.

What are the factors of 48?

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48. These can be written as:

1 × 48 = 48

2 × 24 = 48

(Video) Prime Factors of 46 - Prime Factorization

3 × 16 = 48

4 × 12 = 48

6 × 8 = 48

Videos

1. Prime factors of 46
(Last Night Study)
2. Factors Of 46 (in Hindi) | Surendra Khilery
3. Learning Factors | Mathematics Grade 4 | Periwinkle
(Periwinkle)
4. Prime factors of 46.
(De todo, más y más)
5. How To Find Factors Of 35 & 46 By Division Method.... @TutorJyotiKapoorOnlinestudy
(Tutor Jyoti Kapoor)
6. Prime Factors of 45 and 46 - Prime Factorization
(Math Class channel)
Top Articles
Latest Posts
Article information

Author: Velia Krajcik

Last Updated: 06/23/2023

Views: 5253

Rating: 4.3 / 5 (54 voted)

Author information

Name: Velia Krajcik

Birthday: 1996-07-27

Address: 520 Balistreri Mount, South Armand, OR 60528

Phone: +466880739437

Job: Future Retail Associate

Hobby: Polo, Scouting, Worldbuilding, Cosplaying, Photography, Rowing, Nordic skating

Introduction: My name is Velia Krajcik, I am a handsome, clean, lucky, gleaming, magnificent, proud, glorious person who loves writing and wants to share my knowledge and understanding with you.