What are the prime factors of 240

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What factors of 240 sum up to 20?
What are the prime factors of 240?
What are the factors of 240 and 80?
What are the odd factors of 240?

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The number 240 is a composite number because 240 can be divided by 1, by itself and at least by 2, 3 and 5. So, it is possible to draw its prime tree.

The prime factorization of 240 = 24•3•5. See its prime factors tree below.

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240 divided by 2, 2, 2, 2, 3, 5, gives no remainder. They are integers and prime numbers of 240, they are also called composite number.

prime factorization calculator or integer factorization of a number is the determination of the set of prime integers which multiply together to give the original integer. It is also known as prime decomposition.

Prime number are numbers that can divide without remainder, This means that 240 is divisible by 2, 2, 2, 2, 3, 5, numbers.

240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259

Here we have a collection of all the information you may need about the Prime Factors of 240. We will give you the definition of Prime Factors of 240, show you how to find the Prime Factors of 240 (Prime Factorization of 240) by creating a Prime Factor Tree of 240, tell you how many Prime Factors of 240 there are, and we will show you the Product of Prime Factors of 240.

Prime Factors of 240 definition

First note that prime numbers are all positive integers that can only be evenly divided by 1 and itself. Prime Factors of 240 are all the prime numbers that when multiplied together equal 240.
How to find the Prime Factors of 240 The process of finding the Prime Factors of 240 is called Prime Factorization of 240. To get the Prime Factors of 240, you divide 240 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 240. See illustration below.

All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 240. Here is the math to illustrate: 240 ÷ 2 = 120120 ÷ 2 = 6060 ÷ 2 = 3030 ÷ 2 = 1515 ÷ 3 = 55 ÷ 5 = 1 Again, all the prime numbers you used to divide above are the Prime Factors of 240. Thus, the Prime Factors of 240 are: 2, 2, 2, 2, 3, 5.
How many Prime Factors of 240? When we count the number of prime numbers above, we find that 240 has a total of 6 Prime Factors.

Product of Prime Factors of 240

The Prime Factors of 240 are unique to 240. When you multiply all the Prime Factors of 240 together it will result in 240. This is called the Product of Prime Factors of 240. The Product of Prime Factors of 240 is: 2 × 2 × 2 × 2 × 3 × 5 = 240

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Prime Factors of 241

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240 is a highly composite number. Being an even number, it is a multiple of various numbers like 2, 3, 5 and 10, hence it has many factors. We can say, 240 is a refactorable number, because it is divisible by the count of its divisors. In this mini lesson let us learn to calculate all the factors of 240, the factors of 240 in pairs and the prime factorization of 240.

Factors of 240: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240
Prime Factorization of 240: 2 × 2 × 2 × 2 × 3 × 5 = 24 × 3 × 5

The factors of 240 are the numbers that divide 240 without any remainder. The procedure best followed is to use the divisibility test done for 240, starting from the whole number 1. 1 divides every number and 240 is divided by itself. Let us find the other divisors, which form the factors of 240. Let's tabulate them as follows:

Divisibility Test

240 ÷ 2 = 120

240 ÷ 3 =80

240 ÷ 4 = 60

240 ÷ 5 = 48

240 ÷ 6 = 40

240 ÷ 8 = 30

240 ÷ 10 = 24

240 ÷ 12 = 20

240 ÷ 15 = 16

We can stop our divisibility test here, as we have obtained all the divisors. The quotient obtained also are the factors of 240.

We divide 240 following the divisibility rules and test the divisibility of numbers starting from 1 upto 120 (half of 240). Then we check if the divisors and the quotient obtained so, on multiplication yield the product 240. Thus we verify the factors of 240. Observe that in the following operations, 240 ÷ Divisor = Quotient, Remainder = 0.

Divisor	Quotient
1	240
2	120
3	80
4	60
5	48
6	40
8	30
10	24
12	20
15	16

Thus the pairs of divisors and quotients make up the product 240. They are all the factors of 240.

Hence, the factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240.

To understand the concept of finding factors by prime factorization better, let us take a few more examples.

Factors of 360: The factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180 and 360.
Factors of 40: The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
Factors of 180: The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.
Factors of 112: The factors of 112 are 1, 2, 4, 7, 8, 14, 16, 28, 56, and 112.
Factors of 216: The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216.

We obtain the prime factors by using prime factorization. Starting from 240, we keep dividing the composite numbers obtained in the process by the smallest factor of that number. Observe the pattern in finding the factors this way shown below. This can be followed using factor tree or upside-division method.

Step 1: 240 ÷ 2 = 120
Step 2: 120 ÷ 2 = 60
Step 3: 60 ÷ 2 = 30
Step 4: 30 ÷ 2 = 15
Step 5: 15 ÷ 3 = 5

This can be followed using factor tree or upside-division method.

Thus the prime factorization of 240 is 2 × 2 × 2 × 2 × 3 × 5 = 24 × 3 × 5.

There are 20 factors of 240. All the 20 when divide 240 leave no remainder.
The prime factors of 240 are 2, 3 and 5.

Factors of 240 can also be shown in ordered pairs as shown.The pairs which on multiplication yield the product 240 are the pair factors of 240. Thus, the distinct factor-pairs of 240 are : (1, 240), (2, 120), (3, 80), (4, 60) ,(5, 48), (6, 40 ), (8, 30), (10, 24), (12, 20) and (15, 16)

Do the prime factorization of 240 and obtain it as 24 × 3 × 5. Add 1 to each exponent and multiply them. Here we have (4+1) × (1 +1) × (1+1) = 5 × 2 × 2 = 20. This product helps us determine the total number of factors of 240.
Multiply 2 × 2 × 2 × 2 × 3 × 5 in all possible ways to get the 20 composite factors.

Example 1: Sandra decides to travel to her native at 240 miles. She decides to reach the place in 8 hours. How much distance will she cover in an hour?

Solution:

8 hours × _____ miles = 240 miles. We need to find the missing factor. As, 240 ÷ 8 = 30 miles
Sandra has to cover 30 miles in an hour.

Example 2: Philips finds that 24 pizzas cost $240 and 15 pizzas cost $120. Which is a better deal for him?

Solution:

24 pizzas cost $240.
24 pizzas × cost of each pizza = $240. Expressing this mathematically, 24 x _____ = 240. The missing factor is 10. Thus each pizza costs $10, in this case.

15 pizzas cost $120.
15 pizzas × cost of each pizza = $120. Expressing this mathematically, 15 x _____ = 120. The missing factor is 8. Thus each pizza costs $8, in this case.

Therefore, the better deal is for him is to buy 15 pizzas at $120.

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The factors of 240 and they are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240.

What factors of 240 sum up to 20?

The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240. Hence, the factors of 240 that sum up to 20 are 8 and 12.

What are the prime factors of 240?

The distinct prime factors of 240 are 2 , 3 and 5.

What are the factors of 240 and 80?

The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120 and 240. The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80.