The letter L is prime factor less than 10, if L is also a factor of 42 and 35, what is L?
To find the prime factor that is less than 10 and is a factor of both 42 and 35, we can list the prime factors of both numbers and look for any that are common.
The prime factorization of 42 is 2 * 3 * 7.
The prime factorization of 35 is 5 * 7.
The only prime factor that is common to both numbers is 7.
Therefore, L is 7.
To find the value of L, we need to list the factors of 42 and 35 and identify the prime factors less than 10.
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 35: 1, 5, 7, 35
Now, we need to identify the prime factors less than 10:
Prime factors of 42: 2, 3, 7
Prime factors of 35: 5, 7
From the above lists, we can see that the common prime factor less than 10 for both 42 and 35 is 7.
Therefore, L is equal to 7.