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Factor tree of 24 illustrating prime factorization into 2 × 2 × 2 × 3.

Factor tree of 24 showing 24 splitting into 4 and 6, then 4 into 2 and 2, and 6 into 2 and 3, with the CueMath logo in the top right corner.

Factor tree of 24 showing 24 splitting into 4 and 6, then 4 into 2 and 2, and 6 into 2 and 3, with the CueMath logo in the top right corner.

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Show Answer Key & Explanations Step-by-step solution for: Factors of 1600 | Find the Factors of 1600 by Factoring Calculator ...
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We are given a factor tree of 24. The goal is to find the prime factorization of 24 using this tree.

Let’s break it down step by step:

Start with 24 at the top.

Step 1:
24 splits into 4 and 6.
So, 24 = 4 × 6

Step 2:
Now break down 4.
4 splits into 2 and 2.
So, 4 = 2 × 2 → both are prime numbers (can’t be broken further).

Step 3:
Break down 6.
6 splits into 2 and 3.
Both 2 and 3 are prime numbers.

Now, collect all the bottom-level numbers (the leaves of the tree):
From left branch: 2, 2
From right branch: 2, 3

So, the prime factors of 24 are: 2, 2, 2, and 3.

We can write this as:
24 = 2 × 2 × 2 × 3

Or in exponential form:
24 = 2³ × 3¹

But since the question doesn’t specify format, we’ll list the prime factors as they appear in the tree.

Final Answer:
2 × 2 × 2 × 3
Parent Tip: Review the logic above to help your child master the concept of factor tree calculator.
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