factors of 480 are the perform of integers that us can split evenly right into 480. There are 24 determinants of 480 of i beg your pardon 480 itself is the best factor and also its prime factors are 2, 3, 5 The amount of all components of 480 is 1512.

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All factors of 480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240 and 480 Prime factors of 480: 2, 3, 5 Prime factorization of 480: 25 × 31 × 51 Sum of determinants of 480: 1512
1.What space the determinants of 480?
2.Factors that 480 by prime Factorization
3.Factors that 480 in Pairs
4.FAQs on factors of 480
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What are components of 480?


Factors of 480 room pairs that those numbers whose products an outcome in 480. These determinants are either element numbers or composite numbers.

How to discover the factors of 480?

To uncover the factors of 480, us will have actually to find the perform of numbers that would certainly divide 480 there is no leaving any type of remainder.

480/10 = 48; therefore, 10 is a factor of 480 and also 48 is also a aspect of 480.480/160 = 3; therefore, 160 is a element of 480 and also 3 is also a variable of 480. An in similar way we can discover other factors. Hence, the components of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480.

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components of 480 by element Factorization


The number 480 is composite and also therefore it will have prime factors. Now let united state learn just how to calculation the prime determinants of 480. The an initial step is to division the number 480 v the smallest prime factor, below it is 2. Us keep dividing until it provides a non-zero remainder. 480 ÷ 2 = 240 240 ÷ 2 = 120 120 ÷ 2 = 60 60 ÷ 2 = 30 30 ÷ 2 = 15

Further dividing 15 by 2 offers a non-zero remainder. Therefore we avoid the procedure and continue dividing the number 15 by the next smallest element factor. We stop ultimately if the next prime factor doesn"t exist or as soon as we can"t divide any further.

So, the prime factorization of 480 have the right to be created as 25 × 31 × 51 wherein 2, 3, 5 room prime.


Factors of 480 in Pairs


Pair components of 480 space the bag of numbers that when multiplied provide the product 480. The components of 480 in pairs are:

1 × 480 = (1, 480) 2 × 240 = (2, 240) 3 × 160 = (3, 160) 4 × 120 = (4, 120) 5 × 96 = (5, 96) 6 × 80 = (6, 80) 8 × 60 = (8, 60) 10 × 48 = (10, 48) 12 × 40 = (12, 40) 15 × 32 = (15, 32) 16 × 30 = (16, 30) 20 × 24 = (20, 24)

Negative pair determinants of 480 are:

-1 × -480 = (-1, -480) -2 × -240 = (-2, -240) -3 × -160 = (-3, -160) -4 × -120 = (-4, -120) -5 × -96 = (-5, -96) -6 × -80 = (-6, -80) -8 × -60 = (-8, -60) -10 × -48 = (-10, -48) -12 × -40 = (-12, -40) -15 × -32 = (-15, -32) -16 × -30 = (-16, -30) -20 × -24 = (-20, -24)

NOTE: If (a, b) is a pair element of a number then (b, a) is additionally a pair aspect of the number.


Factors that 480 resolved Examples


Example 1: How numerous factors space there for 480?

Solution:

The components of 480 are too many, therefore if we can uncover the prime factorization the 480, climate the total number of factors can be calculated using the formula presented below. If the prime factorization that the number is ax × by × cz whereby a, b, c space prime, then the total number of factors have the right to be provided by (x + 1)(y + 1)(z + 1). prime Factorization that 480 = 25 × 31 × 51 Therefore, the total number of factors room (5 + 1) × (1 + 1) × (1 + 1) = 6 × 2 × 2 = 24


instance 3: find if 4, 6, 12, 15, 20, 24, 152 and 480 are determinants of 480.

Solution:

once we division 480 by 152 it pipeline a remainder. Therefore, the number 152 is not a element of 480. All numbers except 152 are components of 480.


example 4: find the product of every the prime components of 480.

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Solution:

Since, the prime determinants of 480 space 2, 3, 5. Therefore, the product of prime components = 2 × 3 × 5 = 30.


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FAQs on factors of 480


What are the factors of 480?

The determinants of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480 and also its an unfavorable factors are -1, -2, -3, -4, -5, -6, -8, -10, -12, -15, -16, -20, -24, -30, -32, -40, -48, -60, -80, -96, -120, -160, -240, -480.

What is the amount of all components of 480?

sum of all factors of 480 = (25 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (51 + 1 - 1)/(5 - 1) = 1512

What Numbers space the Prime components of 480?

The prime components of 480 space 2, 3, 5.

What is the Greatest common Factor of 480 and 37?

The components of 480 space 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480 and also the components of 37 space 1, 37. 480 and also 37 have only one common factor which is 1. This suggests that 480 and 37 room co-prime. Hence, the Greatest usual Factor (GCF) that 480 and 37 is 1.

How plenty of Factors that 480 are likewise common to the factors of 306?

Since, the factors of 480 space 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480 and the factors of 306 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306. Hence, <1, 2, 3, 6> are the usual factors that 480 and also 306.