On the we b page "prime factorization worksheet 6th grade", we are going to see some practice questions.

(1) Find the prime factors of 324

(2) Find the prime factors of 625

(3) Find the prime factors of 4096

(4) Find the prime factors of 400

(5) Find the prime factors of 144

(6) Find the prime factors of 1024

(7) Find the prime factors of 256

(8) Find the prime factors of 2025

(9) Find the prime factors of 36

(10) Find the prime factors of 3136

**Question 1 :**

Find the prime factors of 324

**Solution :**

**Step 1 :**

Since the given number ends with 4, first we have to split the given number by the smallest even prime number 2.

**Step 2 :**

2 goes into 3 one time.We have 1 left. If we take this 1 along with the next digit 2, we get 12. If we divide this by 2, we get 6.

We don’t have any number remaining in 12. So we can take the next digit 4. Again, if we divide 4 by 2, we get 2.

**Step 2 :**

If we repeat this process, we will get

So, the prime factors of 324 = 2 x 2 x 3 x 3 x 3 x 3

**Question 2 :**

Find the prime factors of 625

**Solution :**

**Step 1 :**

Since the given number ends with 5, first we have to split it by the prime number 5.

**Step 2 :**

5 goes into 6 one time.We have 1 left. If we take this 1 along with the next digit 2, we get 12. Again we have to divide it by 5. If we divide this by 5, we get 2.

Now we have 2 left. Now we have to take this 2 along with the next digit 5, we get 25. If we divide 25 by 5, we get 5.

**Step 3 :**

By repeating this process until we get prime factors.

Hence, prime factors of 625 = 5 x 5 x 5 x 5

**Question 3 :**

Find the prime factors of 4096

**Solution :**

Prime factors of 4096

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

**Question 4 :**

Find the prime factors of 400

**Solution :**

Prime factors of 400

= 2 x 2 x 2 x 2 x 5 x 5

**Question 5 :**

Find the prime factors of 144

**Solution :**

Prime factors of 144

= 2 x 2 x 2 x 2 x 3 x 3

**Question 6 :**

Find the prime factors of 1024

**Solution :**

Prime factors of 1024

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

**Question 7 :**

Find the prime factors of 256

**Solution :**

Prime factors of 256

= 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

**Question 8 :**

Find the prime factors of 2025

**Solution :**

Prime factors of 2025

= 5 x 5 x 3 x 3 x 3 x 3

**Question 9 :**

Find the prime factors of 36

**Solution :**

Prime factors of 36

= 2 x 2 x 3 x 3

**Question 10 :**

Find the prime factors of 3136

**Solution :**

Prime factors of 3136

= 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7

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