Factor 24 into primes.
24=2 * 2 * 2 * 3
24=2^3*3
To factorize 24 into its prime factors, we need to find prime numbers that multiply together to give 24. Here's how we can find the prime factors:
1. Start with the smallest prime number, which is 2. Divide 24 by 2: 24 ÷ 2 = 12.
2. Now, we have 12. Repeat the process and divide it by 2 again: 12 ÷ 2 = 6.
3. Continuing, we divide 6 by 2 once again: 6 ÷ 2 = 3.
4. Now we have 3, which is already a prime number. It cannot be further divided.
Therefore, the prime factors of 24 are 2, 2, 2, and 3.
In multiplication, we write this as 2 × 2 × 2 × 3.
Alternatively, we can write it using exponent notation as 2^3 × 3.