Question: If the number 210 is written as a product of its prime factors, what is the sum of the exponents of all the primes that make up 210?

To find the prime factorization of 210, we start by dividing it by the smallest prime number, 2. We get 210 ÷ 2 = 105. Dividing 105 by 2 gives 52.5, which is not an integer, so we continue with the next prime, 3. Dividing 105 by 3 gives 35. The next prime, 5, divides 35 exactly. Therefore, the prime factorization of 210 is 2 × 3 × 5 × 7. To find the sum of the exponents, we observe that each prime appears with an exponent of 1. So, the sum of the exponents for the primes that make up 210 is 1 + 1 + 1 + 1 = 4. Therefore, the sum of the exponents of all the primes that make up 210 is 4.

Question: What is the sum of all prime factors of 210 multiplied by the product of the first 3 positive even numbers?

The prime factors of 210 are 2, 3, 5, and 7. Their sum is 2 + 3 + 5 + 7 = 17. The product of the first 3 even numbers is 2 × 4 × 6 = 48. Therefore, the result is 17 × 48 = 816.

Math question: If I add 7 to a number and then multiply it by 30, the result is 210. What is the number?

Let's assume the unknown number as 'x'. According to the given information, (x + 7) * 30 = 210. To solve for x, divide both sides of the equation by 30, giving x + 7 = 7. Finally, subtract 7 from both sides, yielding x = 0. Therefore, the unknown number is 0.

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

210 (number)

210 is an even 3-digits composite number following 209 and preceding 211. In scientific notation, it is written as 2.10 × 10^2. The sum of its digits is 3. It has a total of 3 prime factors and 8 positive divisors. There are 48 positive integers (up to 210) that are relatively prime to 210.

Interesting facts

210 has 8 divisors, whose sum is 396
The reverse of 210 is 012
Previous prime number is 21

Basic properties

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

Name

Name	two hundred ten

Notation

Scientific notation	2.10 × 10^2
Engineering notation	2.10 × 10^0

Prime Factorization of 210

Prime Factorization 2 × 21 × 5

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	210	Product of the distinct prime numbers

The prime factorization of 210 is 2 × 21 × 5. Since it has a total of 3 prime factors.

Most popular turbo-numbers

8, 3, 62, 7, 940, 504, 9110, 5087, 45083, 16779, 905235, 878572, 7706530, 4417653, 3024177, 98916862, 422094054, 122351395, 6520964821, 9149164178

Basic calculations (n = 210)

Multiplication

n×y

n×2	420
n×3	630
n×4	840
n×5	1050

Division

n÷y

n÷2	105
n÷3	70
n÷3	52.5
n÷5	42

Exponentiation

n^y

n²	44100
n³	9261000
n⁴	1944810000
n⁵	408410100000

Nth Root

^y√n

²√n	14.491376746189
³√n	5.9439219527631
⁴√n	3.8067540958393
⁵√n	2.9136934585762

Divisors of 210

1, 2, 5, 10, 21, 42, 105, 210

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	-209	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 210 can be divided by 8 positive divisors. The sum of these divisors (counting 210) is 1, the average is 0.125.

Base conversion 210

Base	System	Value
2	Binary	11010010
3	Ternary	21210
4	Quaternary	3102
5	Quinary	1320
6	Senary	550
8	Octal	322
10	Decimal	210
12	Duodecimal	156
16	Hexadecimal	d2
20	Vigesimal	aa
36	Base36	5u

Cryptographic Hash Functions

md5	6f3ef77ac0e3619e98159e9b6febf557
sha1	135debd4837026bf06c7bfc5d1e0c6a31611af1d
sha256	d29d53701d3c859e29e1b90028eec1ca8e2f29439198b6e036c60951fb458aa1
sha512	e8ee924c1dcb782f1bf5d3ceb488fdb293e551fb8be45457a543e8c88aa31e04e516434c948e507126673e6466a6d6da619193b9efe0d8d50fdf5414020b0212
ripemd-160	48b0522bb4a1049025737f3f29b4ec93bb464637

210 as geometric shapes

Circle

Radius = n

Diameter	420
Circumference	1319.4689145077
Area	138544.23602331

Sphere

Radius = n

Volume	38792386.086527
Surface area	554176.94409324
Circumference	1319.4689145077

Square

Length = n

Perimeter	840
Area	44100
Diagonal	296.98484809835

Cube

Length = n

Surface area	264600
Volume	9261000
Space diagonal	363.73066958946

Equilateral Triangle

Length = n

Perimeter	630
Area	19095.860153447
Altitude	181.86533479473

Triangular Pyramid

Length = n

Surface area	19095.860153447
Volume	1091419.3167614
Height	98.994949366117