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

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Factors of 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 administer of 720: 720 = 2 × 2 × 2 × 2 × 3 × 3 × 5 = 24 × 32 × 5  
1.What room the components of 720?
2.How to Calculate components of 720?
3.Factors the 720 by prime Factorization
4.Factors the 720 in Pairs
5.FAQs on components of 720

What space the components of 720?

All the numbers whose product outcomes in 720 are referred together the determinants of 720. The numbers which divide 720 without leaving any kind of remainder space the factors of 720. Hence, when any two entirety numbers are multiplied with every other and 720 is obtained as the answer, both these numbers are claimed to it is in the determinants of 720.

How to calculate the determinants of 720?

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

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

Hence, the factors the 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 also 720.

Explore factors using illustrations and interactive examples.

Factors of 720 by element Factorization

Prime administer of 720 is expressing 720 as the product that its prime factors. To gain the prime factorization the 720, we can use 2 methods:

Method 1: variable Tree MethodMethod 2: Upside-Down department Method

Method 1: factor Tree Method

Factor tree that 720 is:

*

Method 2: Upside-Down department Method

On divding 720 through its smallest prime aspect which is 2, we get

720/2 = 360

Then 360 is separated by its smallest prime factor and the quotient is obtained. This procedure is repetitive till we gain the quotient as 1.The prime factorization of 720:

*

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

Factors that 720 in Pairs

Pairs that numbers whose product gives 720, are known together the aspect pairs of 720. Let"s watch the complying with table having factors of 720 in pairs. We consider an adverse integers together the an adverse pair factors as product that two negative integers constantly results in a hopeful integer ( - ve × - ve ) = +ve.

Positive Pair determinants of 720Negative Pair factors 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 digits of 720 is 9. Together 9 is divisible through 3, 3 is among the factors of 720.720 is no a perfect square number. Thus, it has actually an even number of factors.

Example 2: Can you discover the components of 720 who pair factor contains a perfect square as one of its pair factors and their difference is an 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 also (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 16.

See more: Add And Simplify: 9/16 = 1/2 = ?* How Do You Simplify (9/16)^(

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