What are prime factors of 40

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Factors are the pair of numbers which on multiplication give us the original number. Factors are also defined as the number which on dividing the original number gives us the quotient as a whole number. Factors can be positive numbers or negative numbers. Decimal numbers and fractions cannot be the factor. Factors and multiples are not the same. Multiples are the extended terms of the given number. There are different methods by which we can find the factors. They are the factorization method, prime factorization method, division method, divisibility method. 

We will discuss all these methods in detail further.

Factors of 40 by Division Method

40 ÷ 1 = 40

40 ÷ 2 = 20

40 ÷ 3 = not divisible

40 ÷ 4 = 10

40 ÷ 5 =8

40 ÷ 6 = not divisible 

40 ÷ 7 = not divisible

40 ÷ 8 = 5

40 ÷ 9 = not divisible

40÷ 10 = 4

40 ÷ 11 = not divisible

40 ÷ 12 = not divisible

40 ÷ 13 = not divisible

40 ÷ 14 = not divisible

40 ÷ 15 = not divisible

40 ÷ 16 = not divisible

40 ÷ 17 = not divisible

40 ÷ 18 = not divisible

40 ÷ 19 = not divisible

40 ÷ 20 = 2

Following the multiplication tables up to 20, we can easily find the factors of 40. 

So, the factors of 40  are 40,  20, 10, 8, 5, 4, and 2.

In order to find more factors of 40, we can start dividing 40 with the factors that we have obtained until now.

40 ÷ 40= 1

40 ÷ 20 = 2

40 ÷ 10 = 4

40 ÷ 8 = 5

40 ÷ 5 =  8

40 ÷ 4 = 10

40 ÷ 2 = 20

The common factors for 40 are 2, 4, 5, 8, 10, 20.

Divisibility Method

In this method, we check the divisibility of 40 by every number. This is the simplest method to find the factors of 40.

Steps to find Factors of 40 by Divisibility Method

  1. We will check whether the number is divisible by 2 since 40 is the even number is divisible by 2.

  2. Now we will check the divisibility by 3. 40 is not divisible by 3.

  3. Now by 4, it is divisible because multiplying 4 by 10 gives us 40.

  4. It is also divisible by 5 because it has 0 in the unit’s place.

  5. Similarly, we will check the divisibility till 10 and we will get all the factors of 40.

Tips and Tricks

This article must have given you an idea about the factors of 40 and also made you clear about the concept. If you want to learn more about factors,  you may visit Vedantu's website which will definitely clear all your doubts. Get into learning but don’t drown in it. 

The only boat which can save you is the below-mentioned strategies, especially for subjects like maths who ask for loads of skills. You should add these tricks to your schedule and you will see the changes super soon. 

Let's dive into these tricks. 

It is not a trick but advice, if you get things learned easily without any confusion, then, you should just try to memorize all the tables and that too till 20. Learning these tables on your tips is the best thing that you can do and is also a very helpful technique that can help you solve the questions faster. If you feel that your memory is good and you can get the tables stored in it, you should try and that is how you can make your memory your best friend. 

The foremost and the most important trick which is completely dependable is that all multiplication has a twin. For example, if you don't remember 7×3 you might remember 3×7, this way you can save a lot of time, which you generally waste thinking about the same. This way you need to remember only half the table. It will help you save time. Hence, students shall not be missing on this one. 

Number 2: 2 has the simplest trick, in this, you just need to double the number to itself. 

For example 2×5=5+5=10

Number 5: For this, you need to cut the number in half and then multiply the number by 10

For example 5×4= 4, half of 4 is 2, then 2 ×10 is 20 which is the answer for 5×4. 

Number 8: Double, double, and double! 

You just need to double the number thrice and the answer is ready. 

For example, 8×6, double of 6 is 12, 12 doubled is 24 and 24 doubled is 48 which is the answer. 

Number 10: Again a simple one in the list of number 10. You just need to put a zero at the end and your job is over. 

For example, 8×10 put a 0 at the end. The answer is 80. 

Number 9: This is also quite easy, you need to multiply the number by 10 and then subtract the number by itself. 

For example 9×6. Multiply 6 and 10, and subtract 9 from it. The answer is 51. 

These number tricks will help you get all the answers very quickly and easily. 

Remembering the squares can also help you. But, learning too much is quite impossible. So, to crack it, there is a quick trick. You need to multiply the number by itself and that gets you the square of the number. And this can get you another trick, in when you multiply the number by itself it gets you an answer in which if you subtract 1 it is the first number and when you add 1, it is the second number. Make a combination of these numbers.  

For better clarity, refer to the example given below. 

For example, 

5×5=25

25-1=24, and then we will do 

5+1 and 5-1 (both the 5s of 5×5) which gets us 

6×4 which is equal to 24

This trick goes with all the squares. 

40 is a composite number. 40 = 1 x 40, 2 x 20, 4 x 10, or 5 x 8. Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40. Prime factorization: 40 = 2 x 2 x 2 x 5, which can also be written 2³ x 5.

What are prime factors of 40

When 40 is a clue in the FIND THE FACTORS puzzles always use either 5 x 8 or 4 x 10. Only one of those combinations will work for any particular puzzle.

Today I share a blog post that was part of the 6-word challenge. I encourage other bloggers to accept the challenge on that post and send your finished product to the Figments of a DuTchess blog. Marion Driessen really will visit your blog if you do. She completed this beautiful jigsaw puzzle featuring the mathematically inspired artwork of M. C. Escher and relayed the challenge of putting it together using only six words!


What are prime factors of 40
Here we have a collection of all the information you may need about the Prime Factors of 40. We will give you the definition of Prime Factors of 40, show you how to find the Prime Factors of 40 (Prime Factorization of 40) by creating a Prime Factor Tree of 40, tell you how many Prime Factors of 40 there are, and we will show you the Product of Prime Factors of 40.

Prime Factors of 40 definition

First note that prime numbers are all positive integers that can only be evenly divided by 1 and itself. Prime Factors of 40 are all the prime numbers that when multiplied together equal 40.
How to find the Prime Factors of 40 The process of finding the Prime Factors of 40 is called Prime Factorization of 40. To get the Prime Factors of 40, you divide 40 by the smallest prime number possible. Then you take the result from that and divide that by the smallest prime number. Repeat this process until you end up with 1. This Prime Factorization process creates what we call the Prime Factor Tree of 40. See illustration below.

What are prime factors of 40

All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 40. Here is the math to illustrate: 40 ÷ 2 = 2020 ÷ 2 = 1010 ÷ 2 = 55 ÷ 5 = 1 Again, all the prime numbers you used to divide above are the Prime Factors of 40. Thus, the Prime Factors of 40 are: 2, 2, 2, 5.
How many Prime Factors of 40? When we count the number of prime numbers above, we find that 40 has a total of 4 Prime Factors.

Product of Prime Factors of 40

The Prime Factors of 40 are unique to 40. When you multiply all the Prime Factors of 40 together it will result in 40. This is called the Product of Prime Factors of 40. The Product of Prime Factors of 40 is: 2 × 2 × 2 × 5 = 40

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Prime Factors of 41

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