Math question: The number 1184 is divisible by two prime numbers. The sum of these prime numbers is 54. What are the two prime numbers?

To solve this, we need to find prime factors whose sum is 54. Since 1184 is even, it must be divisible by 2. After dividing, we get 592. Checking for further division by primes, we find that 592 = 2^4 * 37. The prime factors of 592 are 2 and 37. Their sum is 2 + 37 = 39, which doesn't equal 54. Hence, there are no two prime numbers that satisfy the given condition for the number 1184.

What are all the possible prime factors of the number 1184 and their corresponding multiplicities? Express the answer as a product of powers of prime numbers.

To find the prime factorization of 1184, first divide it by the smallest prime number, 2, yielding 1184 = 2 × 592. Upon dividing the resulting number, 592, by 2 again, we have 592 = 2 × 296. Continuing this process, we get 296 = 2 × 148, 148 = 2 × 74, and 74 = 2 × 37. Since 37 is a prime number, we can conclude that the prime factorization of 1184 is 1184 = 2^6 × 37. Thus, the answer is 1184 = 2^6 × 37.

Math question: What is the largest prime factor of the number 1184?

To find the largest prime factor of 1184, we start by dividing it by the smallest prime number, 2. We find that 1184 ÷ 2 = 592. We continue dividing by 2 until we can no longer divide evenly. Next, we divide 592 by 2 again to get 296. Continuing this process, we divide 296 by 2 to get 148, then by 2 again to get 74. Now, we move to the next prime number, 3, and divide 74 by 3 to get 24 (which is not a factor anymore). Trying the next prime number, 5, we find that 74 cannot be divided evenly. Finally, we try dividing by 7, but this does not work either. Therefore, the largest prime factor of 1184 is 37 (since 296 ÷ 2 ÷ 2 ÷ 2 ÷ 37 = 1).

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

1184 (number)

1184 is an even 4-digits composite number following 1183 and preceding 1185. In scientific notation, it is written as 1.184 × 10^3. The sum of its digits is 14. It has a total of 6 prime factors and 12 positive divisors. There are 576 positive integers (up to 1184) that are relatively prime to 1184.

Interesting facts

1184 has 12 divisors, whose sum is 2394
The reverse of 1184 is 4811
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 14
Digital Root 5

Name

Name	one thousand one hundred eighty-four

Notation

Scientific notation	1.184 × 10^3
Engineering notation	1.184 × 10^3

Prime Factorization of 1184

Prime Factorization 2 × 2 × 2 × 2 × 2 × 37

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	74	Product of the distinct prime numbers

The prime factorization of 1184 is 2 × 2 × 2 × 2 × 2 × 37. Since it has a total of 6 prime factors.

Most popular turbo-numbers

8, 4, 53, 72, 465, 830, 8001, 2530, 73367, 34605, 362528, 624962, 7728279, 9744127, 89011820, 22049118, 713122291, 570889095, 7492285271, 5851507615

Basic calculations (n = 1184)

Multiplication

n×y

n×2	2368
n×3	3552
n×4	4736
n×5	5920

Division

n÷y

n÷2	592
n÷3	394.66666666667
n÷3	296
n÷5	236.8

Exponentiation

n^y

n²	1401856
n³	1659797504
n⁴	1965200244736
n⁵	2326797089767424

Nth Root

^y√n

²√n	34.409301068171
³√n	10.579144945388
⁴√n	5.865944175337
⁵√n	4.117848272957

Divisors of 1184

1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 592, 1184

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1183	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	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	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1184 can be divided by 12 positive divisors. The sum of these divisors (counting 1184) is 1, the average is 0.083333333333333.

Base conversion 1184

Base	System	Value
2	Binary	10010100000
3	Ternary	1121212
4	Quaternary	102200
5	Quinary	14214
6	Senary	5252
8	Octal	2240
10	Decimal	1184
12	Duodecimal	828
16	Hexadecimal	4a0
20	Vigesimal	2j4
36	Base36	ww

Cryptographic Hash Functions

md5	97af4fb322bb5c8973ade16764156bed
sha1	4f221ee9a76b15f3f2737e7344ca4453902fb586
sha256	d40535ac09aac0ef32f8a23b8bb8e04bc2e8f9d6b0981fa98a16d0382f558d83
sha512	58e8934422fe03905d64de814ff73c7926b09625e8b0bc255c58d4190ad319d40feb99bb703322e63057bdd47aa60562ca58eff8a2b620f2063d7bc44430d407
ripemd-160	3cea0cbf6bc30c0eed4b9972f56ef180c69d0dd3

1184 as geometric shapes

Circle

Radius = n

Diameter	2368
Circumference	7439.2914037006
Area	4404060.5109908

Sphere

Radius = n

Volume	6952543526.6841
Surface area	17616242.043963
Circumference	7439.2914037006

Square

Length = n

Perimeter	4736
Area	1401856
Diagonal	1674.4288578497

Cube

Length = n

Surface area	8411136
Volume	1659797504
Space diagonal	2050.7481561616

Equilateral Triangle

Length = n

Perimeter	3552
Area	607021.45422382
Altitude	1025.3740780808

Triangular Pyramid

Length = n

Surface area	607021.45422382
Volume	195609011.74582
Height	558.14295261658