What Are The Factors 48

Factors of 480

Factors of 480 are the list of integers that we can split evenly into 480. There are 24 factors of 480 of which 480 itself is the biggest cistron and its prime factors are 2, three, five The sum of all factors of 480 is 1512.

All Factors of 480: ane, 2, 3, iv, 5, half dozen, 8, ten, 12, 15, 16, twenty, 24, 30, 32, forty, 48, 60, lxxx, 96, 120, 160, 240 and 480
Prime Factors of 480: two, three, five
Prime Factorization of 480: 2^v × three¹ × 5^one
Sum of Factors of 480: 1512

1.	What Are the Factors of 480?
2.	Factors of 480 past Prime number Factorization
3.	Factors of 480 in Pairs
4.	FAQs on Factors of 480

Factors of 480

What are Factors of 480?

Factors of 480 are pairs of those numbers whose products outcome in 480. These factors are either prime numbers or composite numbers.

How to Find the Factors of 480?

To observe the factors of 480, we volition have to find the listing of numbers that would split 480 without leaving whatsoever residual.

480/10 = 48; therefore, 10 is a factor of 480 and 48 is also a cistron of 480.
480/160 = 3; therefore, 160 is a cistron of 480 and 3 is too a factor of 480.

Similarly we can find other factors. Hence, the factors of 480 are 1, two, three, iv, 5, 6, 8, 10, 12, fifteen, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480.

☛ Also Check:

Factors of 55 - The factors of 55 are i, 5, 11, 55
Factors of 36 - The factors of 36 are 1, ii, 3, 4, 6, 9, 12, 18, 36
Factors of 4 - The factors of 4 are 1, 2, 4
Factors of 6 - The factors of six are one, two, iii, vi
Factors of 57 - The factors of 57 are one, three, xix, 57

Factors of 480 by Prime Factorization

The number 480 is blended and therefore information technology will take prime factors. Now allow us learn how to calculate the prime factors of 480. The commencement pace is to dissever the number 480 with the smallest prime number gene, hither it is 2. Nosotros keep dividing until it gives a non-zero remainder.

480 ÷ 2 = 240
240 ÷ two = 120
120 ÷ 2 = 60
60 ÷ 2 = 30
30 ÷ 2 = fifteen

Further dividing 15 by 2 gives a not-zilch remainder. So nosotros stop the process and continue dividing the number 15 by the next smallest prime number gene. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime number factorization of 480 can be written as 2⁵ × 3^ane × 5¹ where two, 3, v are prime.

Factors of 480 in Pairs

Pair factors of 480 are the pairs of numbers that when multiplied give the product 480. The factors of 480 in pairs are:

1 × 480 = (1, 480)
2 × 240 = (ii, 240)
3 × 160 = (3, 160)
4 × 120 = (4, 120)
v × 96 = (5, 96)
6 × eighty = (6, fourscore)
8 × sixty = (viii, sixty)
x × 48 = (ten, 48)
12 × twoscore = (12, 40)
15 × 32 = (15, 32)
xvi × 30 = (16, thirty)
xx × 24 = (twenty, 24)

Negative pair factors of 480 are:

-i × -480 = (-1, -480)
-2 × -240 = (-2, -240)
-3 × -160 = (-three, -160)
-iv × -120 = (-four, -120)
-5 × -96 = (-five, -96)
-6 × -80 = (-6, -80)
-8 × -60 = (-eight, -60)
-10 × -48 = (-10, -48)
-12 × -40 = (-12, -forty)
-fifteen × -32 = (-15, -32)
-16 × -30 = (-16, -30)
-20 × -24 = (-20, -24)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.

Factors of 480 Solved Examples

Example 1: How many factors are there for 480?

Solution:

The factors of 480 are too many, therefore if we can detect the prime factorization of 480, then the total number of factors tin be calculated using the formula shown beneath.
If the prime number factorization of the number is a^x × b^y × c^z where a, b, c are prime, then the total number of factors tin exist given past (x + ane)(y + 1)(z + ane).

Prime Factorization of 480 = ii⁵ × three^one × five¹
Therefore, the total number of factors are (5 + 1) × (1 + 1) × (one + 1) = 6 × 2 × 2 = 24
Example 2: Find the Least Common Multiple and Greatest Common Divisor (GCD) of 480 and 98.

Solution:

The factors of 480 are 1, 2, 3, 4, five, 6, viii, 10, 12, 15, 16, twenty, 24, 30, 32, twoscore, 48, 60, lxxx, 96, 120, 160, 240, 480 and factors of 98 are 1, two, vii, 14, 49, 98.

Therefore, the Least Common Multiple of 480 and 98 is 23520 and Greatest Common Divisor (GCD) of 480 and 98 is 2.
Example three: Detect if 4, half dozen, 12, 15, 20, 24, 152 and 480 are factors of 480.

Solution:

When we divide 480 by 152 it leaves a remainder. Therefore, the number 152 is not a factor of 480. All numbers except 152 are factors of 480.
Instance 4: Observe the product of all the prime factors of 480.

Solution:

Since, the prime factors of 480 are 2, 3, 5. Therefore, the product of prime factors = 2 × 3 × 5 = 30.

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FAQs on Factors of 480

What are the Factors of 480?

The factors of 480 are 1, 2, 3, 4, 5, half dozen, 8, ten, 12, 15, 16, 20, 24, 30, 32, 40, 48, lx, 80, 96, 120, 160, 240, 480 and its negative factors are -one, -2, -three, -4, -five, -6, -8, -10, -12, -15, -xvi, -xx, -24, -thirty, -32, -forty, -48, -sixty, -80, -96, -120, -160, -240, -480.

What is the Sum of all Factors of 480?

Sum of all factors of 480 = (two^{v + 1} - 1)/(2 - one) × (3^{1 + ane} - ane)/(3 - 1) × (5^{1 + 1} - 1)/(v - ane) = 1512

What Numbers are the Prime Factors of 480?

The prime factors of 480 are two, 3, 5.

What is the Greatest Common Gene of 480 and 37?

The factors of 480 are 1, two, 3, 4, five, 6, 8, 10, 12, fifteen, 16, 20, 24, 30, 32, forty, 48, 60, eighty, 96, 120, 160, 240, 480 and the factors of 37 are 1, 37. 480 and 37 accept only one common factor which is 1. This implies that 480 and 37 are co-prime.

Hence, the Greatest Common Gene (GCF) of 480 and 37 is 1.

How Many Factors of 480 are besides common to the Factors of 306?

Since, the factors of 480 are 1, 2, iii, iv, 5, half-dozen, 8, 10, 12, xv, 16, 20, 24, thirty, 32, 40, 48, 60, fourscore, 96, 120, 160, 240, 480 and the factors of 306 are one, two, 3, 6, nine, 17, xviii, 34, 51, 102, 153, 306.
Hence, [1, 2, iii, 6] are the mutual factors of 480 and 306.