Question: The number 5040 is a multiple of which two prime numbers?

The number 5040 is a multiple of the prime numbers 2 and 5. Explanation: To determine the prime factors of 5040, we can factorize it as follows: 5040 = 2^4 × 3^2 × 5^1 × 7^1 Thus, the prime factors of 5040 are 2, 3, 5, and 7. However, since the question asks for the multiples of two prime numbers, we consider the highest powers of primes in the given factorization. In this case, the highest powers are 2^4 and 5^1. Therefore, 5040 is a multiple of both 2 and 5, making 2 and 5 its prime factors.

Math question: How many ways can the number 5040 be factored into two distinct prime numbers multiplied together?

The number 5040 is the product of 7 distinct prime numbers: 2, 3, 5, 7, 11, 13, and 17. To find the total number of ways we can factorize 5040 into two distinct primes, we need to consider the combinations of these primes. We can choose any two primes from this set of 7 to form a distinct factor pair. Using the combination formula, which is nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen, we need to calculate 7C2. Evaluating this expression gives us 7! / (2!(7-2)!) = 7! / (2!5!) = (7 × 6) / (2 × 1) = 42. Therefore, there are 42 distinct ways to factorize 5040 into two distinct prime numbers.

Question: If a number is multiplied by 7 and then the product is multiplied by 6, resulting in 5040, what is the original number?

Let's assume the unknown number is x. According to the question, 7 times x equals 5040. Thus, x = 5040 divided by 7. Simplifying this yields x = 720. Hence, the original number is 720 when multiplied by 7 and then by 6 to equal 5040.

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

5040 (number)

5040 is an even 4-digits composite number following 5039 and preceding 5041. In scientific notation, it is written as 5.040 × 10^3. The sum of its digits is 9. It has a total of 7 prime factors and 40 positive divisors. There are 1152 positive integers (up to 5040) that are relatively prime to 5040.

Interesting facts

5040 has 40 divisors, whose sum is 15872
The reverse of 5040 is 0405
Previous prime number is 3

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 9
Digital Root 9

Name

Name	five thousand forty

Notation

Scientific notation	5.040 × 10^3
Engineering notation	5.040 × 10^3

Prime Factorization of 5040

Prime Factorization 2 × 2 × 2 × 2 × 15 × 3 × 7

Composite number

ω	Distinct Factors	4	Total number of distinct prime factors
Ω	Total Factors	7	Total number of prime factors
rad	Radical	630	Product of the distinct prime numbers

The prime factorization of 5040 is 2 × 2 × 2 × 2 × 15 × 3 × 7. Since it has a total of 7 prime factors.

Most popular turbo-numbers

7, 6, 72, 27, 277, 284, 2306, 4375, 28870, 65564, 651527, 686511, 1265170, 7151525, 30557778, 84346868, 681533841, 557680676, 7359292242, 3590654994

Basic calculations (n = 5040)

Multiplication

n×y

n×2	10080
n×3	15120
n×4	20160
n×5	25200

Division

n÷y

n÷2	2520
n÷3	1680
n÷3	1260
n÷5	1008

Exponentiation

n^y

n²	25401600
n³	128024064000
n⁴	645241282560000
n⁵	3252016064102400000

Nth Root

^y√n

²√n	70.992957397195
³√n	17.145237764627
⁴√n	8.425731861221
⁵√n	5.5015632119669

Divisors of 5040

1, 2, 3, 4, 6, 7, 8, 12, 14, 15, 16, 21, 24, 28, 30, 42, 45, 48, 56, 60, 84, 90, 105, 112, 120, 168, 180, 210, 240, 315, 336, 360, 420, 630, 720, 840, 1260, 1680, 2520, 5040

40 divisors

τ	Total Divisors	40	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-5039	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.025	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	40	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 5040 can be divided by 40 positive divisors. The sum of these divisors (counting 5040) is 1, the average is 0.025.

Base conversion 5040

Base	System	Value
2	Binary	1001110110000
3	Ternary	20220200
4	Quaternary	1032300
5	Quinary	130130
6	Senary	35200
8	Octal	11660
10	Decimal	5040
12	Duodecimal	2b00
16	Hexadecimal	13b0
20	Vigesimal	cc0
36	Base36	3w0

Cryptographic Hash Functions

md5	79c662560b0a5f1ae00b623ad8c775e3
sha1	4afe98453ca74b91f00881ecefe2df8e96fd27b0
sha256	68bc5ec90a2d9464eba42cbe67ccf5a442629e039a2e7d21942c0ea7420b4576
sha512	69adccc8bcfde8aff1816a0d6863cf2708659c42e74bd654a86a27ea0483815dbc27ab26cb8377ab71ef453018f49671ed8f8eb10d7f1e66489842b7422d0e2c
ripemd-160	f0aedb70c71d39932761a3b3e2d99c9e2852009a

5040 as geometric shapes

Circle

Radius = n

Diameter	10080
Circumference	31667.253948185
Area	79801479.949426

Sphere

Radius = n

Volume	536265945260.15
Surface area	319205919.79771
Circumference	31667.253948185

Square

Length = n

Perimeter	20160
Area	25401600
Diagonal	7127.6363543604

Cube

Length = n

Surface area	152409600
Volume	128024064000
Space diagonal	8729.5360701471

Equilateral Triangle

Length = n

Perimeter	15120
Area	10999215.448385
Altitude	4364.7680350736

Triangular Pyramid

Length = n

Surface area	10999215.448385
Volume	15087780634.91
Height	2375.8787847868