# Repeated Prime Factors

We know if the factors of a number are prime then it is called prime factor. Now if the same prime factor is repeated more than once then it is called repeated prime factor.

**For Example:**

Find the repeated prime factors of 64

**Solution:**

The factors of 64 are:

2 × 2 × 2 ×2 × 2 × 2

Therefore, the repeated factors of 64 are:

2 × 2 × 2 ×2 × 2 × 2

**Here are few examples illustrated on repeated factors:**

**1.** List the repeated prime factors of 128

**Solution:**

The repeated prime factors of 128 are:

2 × 2 × 2 ×2 × 2 × 2 × 2

**2.** List the repeated prime factors of 256

**Solution:**

The repeated prime factors of 256 are:

2 × 2 × 2 ×2 × 2 × 2 × 2 × 2

**3.** Find the repeated prime factors of 81

**Solution:**

The repeated prime factors of 81 are:

3 × 3 × 3 ×3

**4.** Find the repeated prime factors of 125

**Solution:**

The repeated prime factors of 125 are:

5 × 5 × 5

**5.** List the repeated prime factors of 72

**Solution:**

The repeated prime factors of 72 are:

2 × 2 × 2 × 3 × 3

**6.** List the repeated factors of 225

**Solution:**

The repeated prime factors of 225 are:

3 × 3 × 5 × 5

**7.** List the repeated factors of 108

**Solution:**

The repeated prime factors of 108 are:

3 × 3 × 3 × 2 × 2

**8.** List the repeated factors of 144

**Solution:**

The repeated prime factors of 144 are:

3 × 3 × 2 × 2 × 2 × 2

**9.** List the repeated factors of 27

**Solution:**

The repeated prime factors of 27 are:

3 × 3 × 3

**10.** List the repeated factors of 625

**Solution:**

The repeated prime factors of 625 are:

5 × 5 × 5 × 5

**11.** List the repeated factors of 4096

**Solution:**

The repeated prime factors of 4096 are:

2 × 2 × 2 ×2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

**12.** List the repeated factors of 1024

**Solution:**

The repeated prime factors of 1024 are:

2 × 2 × 2 ×2 × 2 × 2 × 2 × 2 ×2 × 2

**13.** Find the repeated prime factors of 529

**Solution:**

The repeated prime factors of 529 are:

23 × 23

**14.** Find the repeated prime factors of 784

**Solution:**

The repeated prime factors of 784 are:

2 × 2 × 2 ×2 × 7 × 7

**15.** Find the repeated prime factors of 2048

**Solution:**

The repeated prime factors of 2048 are:

2 × 2 × 2 ×2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

**16.** Find the repeated prime factors of 121

**Solution:**

The repeated prime factors of 121 are:

11 × 11

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