Math question: If a number is divisible by both 3 and 5, but not by 7 or 11, what could it be?

The number 315 satisfies these conditions. To check if it's divisible by 3, we sum its digits (3+1+5=9), which is divisible by 3. To check divisibility by 5, the number must end in 5 or 0, which is satisfied by 315. To ensure it's not divisible by 7 or 11, we can follow their respective divisibility rules and confirm that 315 doesn't satisfy them. Thus, 315 satisfies the given conditions and could be that number.

Math question: If you divide the number 315 by the sum of its digits multiplied by the difference between its tens and units digits, what is the result?

To solve this, first find the sum of the digits: 3 + 1 + 5 = 9. Then calculate the difference between the tens and units digits: 3 - 5 = -2. Next, multiply the sum of the digits by the difference: 9 * (-2) = -18. Finally, divide the number 315 by -18: 315 / (-18) = -17.5. Therefore, the result is -17.5.

Question: If a certain number, when multiplied by 315, is divided by the sum of its digits, the result is equal to 56. What is the number?

To find the number, let's represent it as a three-digit integer, xyz, where x, y, and z denote the individual digits. We know that xyz * 315 / (x + y + z) = 56. Rearranging this equation, we get xyz * 315 = 56 * (x + y + z). Since xyz is a three-digit number, the only possible values for x are 1, 2, 3, 4, and 5. By trying these values, we find that x = 4 satisfies the equation when y = 7 and z = 8. Therefore, the number is 478. The equation can be further simplified as 478 * 315 / (4 + 7 + 8) = 478 * 315 / 19 = 137970 / 19 = 7260. Thus, the number 315, when multiplied by 478 and divided by the sum of its digits (19), results in 7260.

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

315 (number)

315 is an odd 3-digits composite number following 314 and preceding 316. In scientific notation, it is written as 3.15 × 10^2. The sum of its digits is 9. It has a total of 4 prime factors and 12 positive divisors. There are 144 positive integers (up to 315) that are relatively prime to 315.

Interesting facts

315 has 12 divisors, whose sum is 624
The reverse of 315 is 513
Previous prime number is 5

Basic properties

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

Name

Name	three hundred fifteen

Notation

Scientific notation	3.15 × 10^2
Engineering notation	3.15 × 10^0

Prime Factorization of 315

Prime Factorization 3 × 3 × 5 × 7

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	105	Product of the distinct prime numbers

The prime factorization of 315 is 3 × 3 × 5 × 7. Since it has a total of 4 prime factors.

Most popular turbo-numbers

2, 1, 73, 84, 56, 884, 1160, 2559, 8982, 97975, 25849, 806228, 7614923, 2355801, 85104349, 88272106, 652846907, 699632426, 3676966050, 9089856437

Basic calculations (n = 315)

Multiplication

n×y

n×2	630
n×3	945
n×4	1260
n×5	1575

Division

n÷y

n÷2	157.5
n÷3	105
n÷3	78.75
n÷5	63

Exponentiation

n^y

n²	99225
n³	31255875
n⁴	9845600625
n⁵	3101364196875

Nth Root

^y√n

²√n	17.748239349299
³√n	6.8040921159534
⁴√n	4.2128659306105
⁵√n	3.1598183057493

Divisors of 315

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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	-314	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 315 can be divided by 12 positive divisors. The sum of these divisors (counting 315) is 1, the average is 0.083333333333333.

Base conversion 315

Base	System	Value
2	Binary	100111011
3	Ternary	102200
4	Quaternary	10323
5	Quinary	2230
6	Senary	1243
8	Octal	473
10	Decimal	315
12	Duodecimal	223
16	Hexadecimal	13b
20	Vigesimal	ff
36	Base36	8r

Cryptographic Hash Functions

md5	ad13a2a07ca4b7642959dc0c4c740ab6
sha1	f6b9b6ccd0440bc448ae4b0267c316b751bcf826
sha256	377adeb4cd4096adc7ca64b533938cffc6294a9b3534f883b2336a26252cda9a
sha512	f075f98a4305463e374258c25915a581919af577a39eaa5e80d54d538fe48b0ec7e3822ed32814c520570b18557129d4be35931ab65f331b3e713c4c2cfbe9cf
ripemd-160	b1862ce528f554059c265de7bf0a913eb88c7105

315 as geometric shapes

Circle

Radius = n

Diameter	630
Circumference	1979.2033717616
Area	311724.53105245

Sphere

Radius = n

Volume	130924303.04203
Surface area	1246898.1242098
Circumference	1979.2033717616

Square

Length = n

Perimeter	1260
Area	99225
Diagonal	445.47727214752

Cube

Length = n

Surface area	595350
Volume	31255875
Space diagonal	545.5960043842

Equilateral Triangle

Length = n

Perimeter	945
Area	42965.685345255
Altitude	272.7980021921

Triangular Pyramid

Length = n

Surface area	42965.685345255
Volume	3683540.1940698
Height	148.49242404917