Did you know that 720 is the only also composite number having 30 factors? In this chapter, we will certainly calculate the determinants of 720, prime determinants of 720, and factors that 720 in pairs together with solved examples and also interactive questions for a far better understanding.

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Factors the 720: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360 and also 720Prime administrate of 720: 720 = 2 × 2 × 2 × 2 × 3 × 3 × 5 = 24 × 32 × 5  
1.What room the components of 720?
2.How to Calculate determinants of 720?
3.Factors of 720 by prime Factorization
4.Factors that 720 in Pairs
5.FAQs on components of 720

What space the components of 720?

All the numbers whose product outcomes in 720 space referred as the factors of 720. The numbers which division 720 without leaving any kind of remainder room the factors of 720. Hence, when any two entirety numbers are multiplied with every other and 720 is obtained as the answer, both this numbers are said to be the components of 720.

How to calculation the components of 720?

The factors that 720 are calculated by determining all the number which would divide 720 without leaving any remainder. Hence, the divisors and their quotients room the components of 720.

Numbers dividing 720Factors that 720
720/1 = 7201 and also 720 are determinants of 720.
720/2 = 3602 and 360 are components of 720.
720/3 = 2403 and also 240 are factors of 720.
720/4 = 1804 and also 180 are components of 720.
720/5 = 1445 and 144 are components of 720.
720/6 = 1206 and 120 are factors of 720.
720/8 = 908 and 90 are factors of 720.
720/9 = 809 and also 80 are factors of 720.
720/10 = 7210 and 72 are determinants of 720.
720/12 = 6012 and 60 are determinants of 720.
720/15 = 4815 and 48 are components of 720.
720/16 = 4516 and also 45 are factors of 720.
720/18 = 4018 and 40 are factors of 720.
720/20 = 3620 and also 36 are factors of 720.
720/24 = 3024 and also 30 are determinants of 720.

Hence, the factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, and 720.

Explore determinants using illustrations and also interactive examples.

Factors of 720 by element Factorization

Prime administrate of 720 is to express 720 as the product of its prime factors. To get the prime factorization of 720, we can use two methods:

Method 1: aspect Tree MethodMethod 2: Upside-Down division Method

Method 1: factor Tree Method

Factor tree of 720 is:

*

Method 2: Upside-Down department Method

On divding 720 through its smallest prime element which is 2, us get

720/2 = 360

Then 360 is divided by its smallest prime factor and also the quotient is obtained. This process is repetitive till we get the quotient as 1.The element factorization of 720:

*

Hence, the prime determinants of 720 are 2, 3, and also 5.The element factorization the 720 is 2 × 2 × 2 × 2 × 3 × 3 × 5.

Factors that 720 in Pairs

Pairs of numbers whose product gives 720, are known together the variable pairs that 720. Let"s observe the following table having factors of 720 in pairs. We consider negative integers as the negative pair components as product of two negative integers constantly results in a confident integer ( - ve × - ve ) = +ve.

Positive Pair components of 720Negative Pair components of 720
(1, 720)(-1, -720)
(2, 360)(-2, -360)
(3, 240)(-3, -240)
(4, 180)(-4, -180)
(5, 144)(-5, -144)
(6, 120)(-6, -120)
(8, 90)(-8, -90)
(9, 80)(-9, -80)
(10, 72)(-10, -72)
(12, 60) (-12, -60)
(15, 48)(-15, -48)
(16, 45)(-16, -45)
(18, 40)(-18, -40)
(20, 36)(-20, -36)
(24, 30)(-24, -30)

 

 

Important Notes:

The sum of the number of 720 is 9. As 9 is divisible by 3, 3 is one of the determinants of 720.720 is no a perfect square number. Thus, it has an even variety of factors.

Example 2: Can you uncover the factors of 720 whose pair factor contains a perfect square as one of its pair factors and also their difference is one odd number.

Solution:

We know pair components of 720 are (1, 720), (2, 360), (3, 240), (4, 180), (5, 144), (6, 120), (8, 90), (9, 80), (10, 72), (12, 60), (15, 48), (16, 45), (18, 40), (20, 36), and (24, 30).The pair determinants containing a perfect square are (4, 180), (5, 144), (9, 80), (16, 45) and (20, 36). The difference of the pair determinants are 172, 139, 71, 29, and also 16.

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Hence, the determinants of 720 who pair factor includes a perfect square as among its pair factors and their distinction is one odd number are (5, 144), (9, 80), and (16, 45).