To simplify the number 496, we can factor it into its prime components or express it in a simpler form, if applicable. Let's start by factoring 496: 1. **Divide by 2 (the smallest prime number)**: - \( 496 \div 2 = 248 \) 2. **Divide 248 by 2**: - \( 248 \div 2 = 124 \) 3. **Divide 124 by 2**: - \( 124 \div 2 = 62 \) 4. **Divide 62 by 2**: - \( 62 \div 2 = 31 \) 5. **31 is a prime number** and cannot be factored further. So, we have: \[ 496 = 2^4 \times 31 \] Thus, the prime factorization of 496 is \( 2^4 \times 31 \). If you were looking for a different form of simplification, such as in terms of greatest common divisor or division by another number, please clarify, and I can help with that!

simplify

496

1 answer

To simplify the number 496, we can factor it into its prime components or express it in a simpler form, if applicable.

Let's start by factoring 496:

Divide by 2 (the smallest prime number):
- \( 496 \div 2 = 248 \)
Divide 248 by 2:
- \( 248 \div 2 = 124 \)
Divide 124 by 2:
- \( 124 \div 2 = 62 \)
Divide 62 by 2:
- \( 62 \div 2 = 31 \)
31 is a prime number and cannot be factored further.

So, we have: \[ 496 = 2^4 \times 31 \]

Thus, the prime factorization of 496 is \( 2^4 \times 31 \).

If you were looking for a different form of simplification, such as in terms of greatest common divisor or division by another number, please clarify, and I can help with that!