Factor 30+48. Write your answer in the form a(b+c) where a is the GCF of 30 and 48.
To factor 30+48, first we need to find the greatest common factor (GCF) of both 30 and 48.
The prime factorization of 30 is 2 x 3 x 5, while the prime factorization of 48 is 2 x 2 x 2 x 2 x 3.
The common factors of 30 and 48 are 2 and 3. Therefore, the GCF of 30 and 48 is 2 x 3 = 6.
Now we can factor 30+48 as follows:
30+48 = 6(5+8)
So, the answer is 6(5+8).
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To factor 30+48, let's first find the GCF (Greatest Common Factor) of 30 and 48.
The prime factorization of 30 is 2 * 3 * 5.
The prime factorization of 48 is 2 * 2 * 2 * 2 * 3.
The GCF of 30 and 48 includes all the common prime factors with the lowest exponents. Therefore, the GCF is 2 * 3 = 6.
Now, let's write 30+48 in the form a(b+c), where a is the GCF of 30 and 48.
30+48 = 6(5+8)
Therefore, 30+48 can be factorized as 6(5+8).
To factor 30+48, we first need to find the greatest common factor (GCF) of 30 and 48.
Step 1: Find the factors of 30: 1, 2, 3, 5, 6, 10, 15, 30.
Step 2: Find the factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
The common factors of 30 and 48 are 1, 2, 3, and 6. The greatest common factor (GCF) is 6.
Now, we can rewrite 30+48 as follows:
30+48 = 6 * 5 + 6 * 8
We can factor out the GCF, 6, to get:
30 + 48 = 6(5 + 8)
Therefore, the fully factored form of 30+48 is 6(5+8), where 6 is the GCF of 30 and 48.