Math Question: What is the sum of the prime factors of the number 189?

To find the prime factors of 189, we start by dividing it by the smallest prime number, 2. Since 2 does not divide evenly into 189, we then try with the next prime number, which is 3. Dividing 189 by 3 gives us 63. Continuing, we divide 63 by 3, resulting in 21, and then divide 21 by 3 to obtain 7, which is a prime number. Thus, the prime factors of 189 are 3 and 7. Now, to find their sum, we add them: 3 + 7 = 10. Therefore, the sum of the prime factors of 189 is 10.

Math question: Find a number that is divisible by 3, 7 and 9, and is a multiple of 9 as well. This number should be greater than 180 but less than 200.

To find a number that satisfies the given conditions, we first need to find the least common multiple (LCM) of 3, 7, and 9, which is 63. Since the number must also be a multiple of 9, we need to find multiples of 63 which are divisible by 9. The multiples of 63 are 63, 126, 189, etc. Out of these options, only 189 is less than 200. Hence, the number that satisfies all the conditions is 189.

Question: The sum of a number and its square is 189. Find the number.

Let's assume the number is x. According to the given information, the equation becomes x + x^2 = 189. Rearranging the equation, we have x^2 + x - 189 = 0. Now, we can solve this quadratic equation. Using factoring, completing the square, or the quadratic formula, we find two possible values for x: x = -14 or x = 13. Thus, the number that satisfies the equation is either -14 or 13.

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

189 (number)

189 is an odd 3-digits composite number following 188 and preceding 190. In scientific notation, it is written as 1.89 × 10^2. The sum of its digits is 18. It has a total of 3 prime factors and 8 positive divisors. There are 108 positive integers (up to 189) that are relatively prime to 189.

Interesting facts

189 has 8 divisors, whose sum is 320
The reverse of 189 is 981
Previous prime number is 9

Basic properties

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

Name

Name	one hundred eighty-nine

Notation

Scientific notation	1.89 × 10^2
Engineering notation	1.89 × 10^0

Prime Factorization of 189

Prime Factorization 7 × 9 × 3

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	189	Product of the distinct prime numbers

The prime factorization of 189 is 7 × 9 × 3. Since it has a total of 3 prime factors.

Most popular turbo-numbers

3, 8, 89, 94, 749, 911, 3760, 2917, 15143, 70038, 684561, 989261, 5030144, 6066006, 52811391, 78271423, 867504983, 429493672, 1127224038, 9161810044

Basic calculations (n = 189)

Multiplication

n×y

n×2	378
n×3	567
n×4	756
n×5	945

Division

n÷y

n÷2	94.5
n÷3	63
n÷3	47.25
n÷5	37.8

Exponentiation

n^y

n²	35721
n³	6751269
n⁴	1275989841
n⁵	241162079949

Nth Root

^y√n

²√n	13.747727084868
³√n	5.7387935483172
⁴√n	3.7077927510673
⁵√n	2.8529381783868

Divisors of 189

1, 3, 7, 9, 21, 27, 63, 189

8 divisors

τ	Total Divisors	8	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-188	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.125	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	8	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 189 can be divided by 8 positive divisors. The sum of these divisors (counting 189) is 1, the average is 0.125.

Base conversion 189

Base	System	Value
2	Binary	10111101
3	Ternary	21000
4	Quaternary	2331
5	Quinary	1224
6	Senary	513
8	Octal	275
10	Decimal	189
12	Duodecimal	139
16	Hexadecimal	bd
20	Vigesimal	99
36	Base36	59

Cryptographic Hash Functions

md5	a2557a7b2e94197ff767970b67041697
sha1	e54183e2a040e6c09e61eb22d542e3d57074b351
sha256	7045d16ae7f043ec25774a0a85d6f479e5bb019e9c5a1584bc76736d116b8f33
sha512	227d4d9f49ed790afa1d7c3eb1f884e39a39ed59ea22d7af464a06a271a76d1d1e29fba3c48b2a2ce72d1c2b6242e0e0acf23120e096a7693ec8845c83ce3872
ripemd-160	017ab65b55da21be367d598ece266b5f9e1149ac

189 as geometric shapes

Circle

Radius = n

Diameter	378
Circumference	1187.5220230569
Area	112220.83117888

Sphere

Radius = n

Volume	28279649.457078
Surface area	448883.32471552
Circumference	1187.5220230569

Square

Length = n

Perimeter	756
Area	35721
Diagonal	267.28636328851

Cube

Length = n

Surface area	214326
Volume	6751269
Space diagonal	327.35760263052

Equilateral Triangle

Length = n

Perimeter	567
Area	15467.646724292
Altitude	163.67880131526

Triangular Pyramid

Length = n

Surface area	15467.646724292
Volume	795644.68191909
Height	89.095454429505