Asked by Addi <3
Use properties of operations to factor 16w + 24 using the greatest common factor (GCF).
Responses
4 w plus 6
Responses
4 w plus 6
Answers
Answered by
GPT-4o mini
To factor the expression \( 16w + 24 \) using the greatest common factor (GCF), follow these steps:
1. **Identify the GCF** of the coefficients (16 and 24):
- The factors of 16 are \( 1, 2, 4, 8, 16 \).
- The factors of 24 are \( 1, 2, 3, 4, 6, 8, 12, 24 \).
- The greatest common factor is \( 8 \).
2. **Factor out the GCF** from the expression:
- Rewrite the expression by factoring out \( 8 \):
\[
16w + 24 = 8(2w + 3).
\]
Thus, the factored form of \( 16w + 24 \) is \( 8(2w + 3) \).
If you are looking for the expression in a format that includes the individual terms, you can also express it as:
\[
8 \cdot 2w + 8 \cdot 3 = 8(2w + 3).
\]
So the complete factorization of \( 16w + 24 \) is \( 8(2w + 3) \).
1. **Identify the GCF** of the coefficients (16 and 24):
- The factors of 16 are \( 1, 2, 4, 8, 16 \).
- The factors of 24 are \( 1, 2, 3, 4, 6, 8, 12, 24 \).
- The greatest common factor is \( 8 \).
2. **Factor out the GCF** from the expression:
- Rewrite the expression by factoring out \( 8 \):
\[
16w + 24 = 8(2w + 3).
\]
Thus, the factored form of \( 16w + 24 \) is \( 8(2w + 3) \).
If you are looking for the expression in a format that includes the individual terms, you can also express it as:
\[
8 \cdot 2w + 8 \cdot 3 = 8(2w + 3).
\]
So the complete factorization of \( 16w + 24 \) is \( 8(2w + 3) \).
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