Learn how to find the **factors of 75** and also know the total number of factors of the number 75.

Factors are nothing but all the numbers which divides the number 75 exactly.

**Method to list all the factors of 75:**

Write the given number 75 as the product of 1 and 75.

After 1, we should take the number 2. But 75 is not divisible exactly by the number 2. So skip 2 and take 3.

As 75 is divisible by 3, write 75 as the product of 3 and 25.

After 3 take the number 5 as 75 is not divisible by 4.

Now write 75 as the product of 5 and 15.

After 5, the numbers 6, 7, 8, 9, 10, 11, 12, 13 and 14 cannot divide the number 75 exactly. So leave all these numbers.

After 14, we have 15 which divides the number 75 exactly. As already we wrote 15 in the above steps, so stop the process now.

From the above table we have the numbers 1, 3, 5, 15, 25 and 75. All these numbers are the factor of 75 only.

**Prime factors of 75:**

Out of the 6 factors we have only two factors as prime factors. The **prime factors of 75** are 3 and 5.

**Factors of 75 which are even numbers:**

There are no even prime factors for the number 75. So we have zero even factors for the given number 75.

**Factors of 75 which are odd numbers:**

All the **six factors of 75** are odd factors only.

**Method to find the total number of factors of 75:**

Write the number 75 as product of the prime numbers.

To find out this you can do L division.

75 = 3 x 5^{2}

Now we can see that 75 is written as the product of 3 and 5^{2} .

To get the number of factors of the number 75 just add 1 to the powers of 3 and 5 and then multiply them.

As 3 power is 1 and 5 power is 2, adding 1 to the power gives

= (1 + 1) x (2 + 1)

= 2 x 3

= 6

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