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Find the prime factors and prime factorization of 30.

April 27, 2026Mathematics

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Answer

2 \times 3 \times 5

3 steps

Create a factor tree for 30.
Start by dividing 30 by the smallest prime number, 2.
$30 = 2 \times 15$
Now, break down 15.
$15 = 3 \times 5$
The numbers 2, 3, and 5 are all prime numbers, so the tree ends here.
List the prime factors.
The prime factors are the numbers at the end of the branches of the factor tree.
The prime factors of 30 are 2, 3, and 5.
Write the prime factorization.
The prime factorization is the product of all the prime factors.
$30 = 2 \times 3 \times 5$
The prime factors of 30 are 2, 3, 5.
The prime factorization of 30 is $\boxed{2 \times 3 \times 5}$ .

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