Math question: If 864 is divided by the product of its prime factors, excluding 1, what is the resulting quotient?

To find the prime factors of 864, we break it down: 864 divided by 2 = 432 432 divided by 2 = 216 216 divided by 2 = 108 108 divided by 2 = 54 54 divided by 2 = 27 Now, 27 is 3^3. Therefore, the prime factorization of 864 is 2^5 × 3^3. Next, we exclude the factor of 1 and multiply the prime factors together: 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 = 2^5 × 3^3 Finally, we divide 864 by this product: 864 ÷ (2^5 × 3^3) = 3 Hence, the resulting quotient when 864 is divided by the product of its prime factors (excluding 1) is 3.

Math question: What is the largest prime factor of the number 864?

To find the prime factorization of 864, we divide it by the smallest prime numbers successively, starting with 2. Repeatedly dividing, we get: 864 ÷ 2 = 432 ÷ 2 = 216 ÷ 2 = 108 ÷ 2 = 54 ÷ 2 = 27. Now, since 27 is not divisible by 2, we continue dividing by the next prime number, 3: 27 ÷ 3 = 9 ÷ 3 = 3. Since 3 is also a prime number, we stop here and conclude that the prime factorization of 864 is 2^5 × 3^3. Therefore, the largest prime factor of 864 is 3.

Math Question: If the number 864 is multiplied by 3, increased by 72, and then divided by 2, what is the final result?

To find the result, let's follow the steps: Step 1: 864 multiplied by 3 is 2592. Step 2: Adding 72 to 2592 gives 2664. Step 3: Dividing 2664 by 2 equals 1332. Therefore, the final result is 1332.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

864 (number)

864 is an even 3-digits composite number following 863 and preceding 865. In scientific notation, it is written as 8.64 × 10^2. The sum of its digits is 18. It has a total of 8 prime factors and 24 positive divisors. There are 288 positive integers (up to 864) that are relatively prime to 864.

Interesting facts

864 has 24 divisors, whose sum is 2520
The reverse of 864 is 468
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 18
Digital Root 9

Name

Name	eight hundred sixty-four

Notation

Scientific notation	8.64 × 10^2
Engineering notation	8.64 × 10^0

Prime Factorization of 864

Prime Factorization 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	8	Total number of prime factors
rad	Radical	6	Product of the distinct prime numbers

The prime factorization of 864 is 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3. Since it has a total of 8 prime factors.

Most popular turbo-numbers

9, 9, 6, 86, 823, 361, 7932, 1437, 11148, 56355, 444477, 808703, 1330712, 7886811, 9079049, 21749581, 995464397, 656136578, 2052839457, 2727447867

Basic calculations (n = 864)

Multiplication

n×y

n×2	1728
n×3	2592
n×4	3456
n×5	4320

Division

n÷y

n÷2	432
n÷3	288
n÷3	216
n÷5	172.8

Exponentiation

n^y

n²	746496
n³	644972544
n⁴	557256278016
n⁵	481469424205824

Nth Root

^y√n

²√n	29.393876913398
³√n	9.5244063118092
⁴√n	5.4216120216591
⁵√n	3.8663640898635

Divisors of 864

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

24 divisors

τ	Total Divisors	24	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-863	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.041666666666667	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	24	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 864 can be divided by 24 positive divisors. The sum of these divisors (counting 864) is 1, the average is 0.041666666666667.

Base conversion 864

Base	System	Value
2	Binary	1101100000
3	Ternary	1012000
4	Quaternary	31200
5	Quinary	11424
6	Senary	4000
8	Octal	1540
10	Decimal	864
12	Duodecimal	600
16	Hexadecimal	360
20	Vigesimal	234
36	Base36	o0

Cryptographic Hash Functions

md5	1fc214004c9481e4c8073e85323bfd4b
sha1	de1592e729f8f17f431e04338d66ea9cbf60f10a
sha256	8f97d9164b8fa131f0361abbe49fe706d3abfd77663ed7939ee20d361a0c6a67
sha512	463de653aa95810d9a600473c1cc93c591b33e4a232b62d3a7bd0037eeb21d5f2a633709688073971bae4d7a2aebec23c62e0dff527c97694b643a00cc6cd9d6
ripemd-160	05f308b120842001ce3c6f4500d56bff2e6e1c04

864 as geometric shapes

Circle

Radius = n

Diameter	1728
Circumference	5428.6721054032
Area	2345186.3495342

Sphere

Radius = n

Volume	2701654674.6634
Surface area	9380745.3981367
Circumference	5428.6721054032

Square

Length = n

Perimeter	3456
Area	746496
Diagonal	1221.8805178904

Cube

Length = n

Surface area	4478976
Volume	644972544
Space diagonal	1496.4918977395

Equilateral Triangle

Length = n

Perimeter	2592
Area	323242.24991173
Altitude	748.24594886975

Triangular Pyramid

Length = n

Surface area	323242.24991173
Volume	76010743.256923
Height	407.29350596345