240 is a extremely composite number. Being an also number, the is a multiple of various numbers favor 2, 3, 5 and also 10, hence it has many factors. We have the right to say, 240 is a refactorable number, since it is divisible by the counting of that divisors. In this mini lesson permit us find out to calculation all the determinants of 240, the factors of 240 in pairs and the prime factorization the 240.

You are watching: What is 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 also 240Prime factorization of 240: 2 × 2 × 2 × 2 × 3 × 5 = 24 × 3 × 5
1.What space The determinants of 240?
2.How to Calculate factors of 240?
3.Factors of 240 in Pairs
4.FAQs on factors of 240

What are the determinants of 240?

The components of 240 are the numbers that divide 240 without any type of remainder. The procedure ideal followed is to use the divisibility check done because that 240, starting from the totality number 1. 1 divides every number and 240 is split by itself. Allow us uncover the various other divisors, which form the determinants 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 deserve to stop our divisibility test here, together we have acquired all the divisors. The quotient obtained additionally are the factors of 240. 


How to calculate the components of 240?

We division 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 derived so, top top multiplication yield the product 240. Therefore we verify the factors of 240. Observe the in the complying with operations, 240 ÷ Divisor = Quotient, Remainder = 0.


DivisorQuotient
1240
2120
380
460
548
640
830
1024
1220
1516

Thus the bag of divisors and quotients comprise the product 240. They space all the factors of 240. 

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

To recognize the concept of finding components by prime factorization better, let united state take a couple of more examples.


Factors that 240 by prime Factorization

We obtain the prime determinants by making use of prime factorization. Beginning from 240, we keep dividing the composite numbers derived in the process by the smallest aspect of the number. Watch the pattern in finding the components this way shown below. This deserve to be adhered to using factor tree or upside-division method.


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

This have the right to be followed using aspect tree or upside-division method.

*

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


Important Notes:


There space 20 determinants of 240. All the 20 once divide 240 leaving no remainder.The prime components of 240 space 2, 3 and 5. 

Factors the 240 in Pairs

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


Tips and Tricks


Do the prime factorization of 240 and obtain the as 24 × 3 × 5. Include 1 to each exponent and also multiply them. Here we have actually (4+1) × (1 +1) × (1+1) = 5 × 2 × 2 = 20. This product help us recognize the total number of factors that 240.Multiply 2 × 2 × 2 × 2 × 3 × 5 in all feasible ways to get the 20 composite factors.

Factors of 240 solved Examples


Example 1: Sandra decides to travel to her aboriginal at 240 miles. She decides to with the location in 8 hours. Exactly how much distance will she cover in one hour?


Solution:

8 hours × _____ miles = 240 miles.We need to discover the absent factor. As, 240 ÷ 8 = 30 milesSandra has to cover 30 miles in an hour.


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

Solution: 

24 pizzas price $240.24 pizzas × cost of every pizza = $240. Expressing this mathematically, 24 x _____ = 240. The lacking factor is 10. For this reason each pizza costs $10, in this case.

15 pizzas cost $120.15 pizzas × price of each pizza = $120. Expressing this mathematically, 15 x _____ = 120. The absent factor is 8. Hence each pizza expenses $8, in this case.

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


View much more >

go come slidego come slide


*


Breakdown tough principles through an easy visuals.
Math will no much longer be a hard subject, particularly when you recognize the concepts through visualizations.

Book a cost-free Trial Class


Interactive Questions


Try These! >

go come slidego come slidego come slide


FAQs on components of 240

What room the factors of 240?


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 determinants of 240 amount up come 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 components of 240 that amount up come 20 space 8 and also 12.

What space the prime factors of 240?

The distinct prime determinants of 240 space 2 , 3 and also 5.

See more: How Did Molly Weasley Kill Bellatrix Lestrange, Harry Potter

What room the components of 240 and also 80?

The determinants 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 determinants of 80 space 1, 2, 4, 5, 8, 10, 16, 20, 40 and also 80.