Math and Prime Number Examples

Practice math-focused code: factorials, prime checks, divisors, GCD/LCM, and multiplication tables. These examples emphasize efficient loops and clean math utilities suitable for interview prep and fundamentals.

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Python Program to Find the Factorial of a Number

Iterative factorial.

n = 5
f = 1
for i in range(2, n+1): f *= i
print(f)

Output

120

Python Program to Check Prime Number

Trial division prime check.

n = 29
is_prime = n > 1 and all(n % i for i in range(2, int(n**0.5)+1))
print('Prime' if is_prime else 'Not Prime')

Output

Prime

Python Program to Print all Prime Numbers in an Interval

Lists primes in range.

l, h = 10, 50
primes = []
for x in range(l, h+1):
    if x > 1 and all(x % i for i in range(2, int(x**0.5)+1)):
        primes.append(x)
print(primes)

Output

[11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]

Python Program to Display the multiplication Table

Prints table for a number.

n = 5
for i in range(1, 11):
    print(f"{n} x {i} = {n*i}")

Output

5 x 1 = 5
5 x 2 = 10
5 x 3 = 15
5 x 4 = 20
5 x 5 = 25
5 x 6 = 30
5 x 7 = 35
5 x 8 = 40
5 x 9 = 45
5 x 10 = 50

Python Program to Find the Sum of Natural Numbers

Sum of 1..n.

n = 10
print(n * (n + 1) // 2)

Output

55

Python Program to Find HCF or GCD

Uses math.gcd.

import math
print(math.gcd(54, 24))

Output

6

Python Program to Find LCM

Computes LCM via GCD.

import math
a, b = 12, 18
lcm = a * b // math.gcd(a, b)
print(lcm)

Output

36

Python Program to Find the Factors of a Number

Lists divisors.

n = 28
print([i for i in range(1, n+1) if n % i == 0])

Output

[1, 2, 4, 7, 14, 28]

Python Program to Compute the Power of a Number

Uses pow.

print(pow(2, 10))

Output

1024

Python Program to Count the Number of Digits Present In a Number

Counts decimal digits.

print(len(str(abs(12345))))

Output

5

Python Strings Basics

Concatenate, format, and slice strings.

s = "Hello, Python"
print(s.lower())
print(s.upper())
print(s[0:5])
print(f"Length: {len(s)}")

Output

hello, python
HELLO, PYTHON
Hello
Length: 13

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