Question
write the following nurnbers as a product
prime factor
32,72
prime factor
32,72
Ask by Vargas Huff. in South Africa
Jan 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
32 = 2 × 2 × 2 × 2 × 2 = 2⁵
72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²
72 = 2 × 2 × 2 × 3 × 3 = 2³ × 3²
Solution
Sure! Let’s break down the numbers 32 and 72 into their prime factors:
1. Prime Factorization of 32
32 is a power of 2. Here’s how you can express it as a product of prime factors:
2. Prime Factorization of 72
72 can be factored into both 2s and 3s. Here’s the breakdown:
Summary:
- 32 =
- 72 =
These expressions represent the numbers 32 and 72 as products of their prime factors.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
To express the numbers 32 and 72 as products of their prime factors, we start with 32. It can be broken down into
or
. Now for 72, we can factor it into
or
.
So, 32 =
and 72 =
.