The number L is a prime factor less than 10. If L is also a factor of 42 and 45, what is L
Show workings
To find out what the prime factor L is, we need to find the factors of 42 and 45 and check which prime number(s) is shared by both.
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.
Similarly, the factors of 45 are 1, 3, 5, 9, 15, 45.
We can see that the common factor of both 42 and 45 is 3, which is a prime factor less than 10. Therefore, L is equal to 3.
So, the answer is L = 3.