Mathematics

Draw a prime factor tree for 42 . Use your tree to write 42 as a product of its prime factors.

Posted 3 weeks ago

Answers (2)

Fiona Harris 3 weeks ago

The prime factor tree for 42 is:          42         /  \        2   21           /   \          3    7 And 42 can be written as a product of its prime factors as 2 * 3 * 7. To draw a prime factor tree for 42, we start by dividing 42 by its smallest prime factor, which is 2. We get 21 as the quotient. Since 21 is not divisible by 2, we move to the next smallest prime factor, which is 3. Dividing 21 by 3 gives us 7. Now, 7 is a prime number, so our factor tree is complete.          42         /  \        2   21           /   \          3    7 To write 42 as a product of its prime factors, we simply multiply the prime numbers from the bottom of the tree upwards: 2 * 3 * 7 = 42. Therefore, 42 can be expressed as a product of its prime factors: 2 * 3 * 7. Learn more about prime factor brainly.com/question/29763746 #SPJ11

George King 3 weeks ago

To factorize 42 into prime factors, divide by the smallest prime numbers until all factors are found: 42 = 2 × 3 × 7. Create a prime factor tree with these steps for clarity. To draw a prime factor tree for 42 and write 42 as a product of its prime factors, follow these steps: Start with the number 42: Divide 42 by the smallest prime number, which is 2: 42 ÷ 2 = 21. Write down 2 and 21: Next, factor 21 by dividing it with the smallest prime number, 3: 21 ÷ 3 = 7. Write down 3 and 7: as 7 is already a prime number, the factorization stops here. The prime factor tree will look like this: 42 2 21     3     7 Therefore, 42 can be written as the product of its prime factors: 42 = 2 × 3 × 7

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