Express 56 as the product of its prime factors.
To express 56 as the product of its prime factors, we can use the prime factorization method:
- Divide 56 by the smallest prime number possible, which is 2. The result is 28.
- Divide 28 by 2 again. The result is 14.
- Divide 14 by 2 again. The result is 7.
- 7 is a prime number, so we can’t divide it any further.
- Therefore, the prime factorization of 56 is 2 x 2 x 2 x 7, or 2^3 x 7.
Therefore, 56 can be expressed as the product of its prime factors, which are 2 x 2 x 2 x 7.
Expressing a number as the product of its prime factors means breaking down that number into its prime factors, which are the prime numbers that can be multiplied together to get the original number.
Prime factors are the prime numbers that can be multiplied together to get a given number. For example, the prime factors of 56 are 2 and 7.
To find the prime factors of 56, you can use the prime factorization method. Divide 56 by the smallest prime number possible, which is 2. Then, continue to divide the result by the smallest possible prime number until the result is a prime number itself. The prime factors of 56 are 2 and 7.
Expressing a number as the product of its prime factors can help simplify calculations and solve problems in various fields such as math, science, and engineering. It can also help identify patterns and relationships between numbers.
Any multiple of 2 and 7 can be expressed as the product of 2 and 7. For example, 14, 28, 42, 70, 84, etc.
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