 # Factors of 215

The factors of 215 are the numbers, that produce the result as 215 when a particular pair of factors are multiplied together. These factors are 1, 5, 43 and 215.

To find the factors of a number, 215, we will use the factorization method.

In the factorization method, first take the numbers, 1 and 215 as factors of 215 and proceed with finding the other pair of multiples of 215 which gives the results as an original number. To understand this method in a better way, read the article below to find factor 215 in pairs and also the division method to find the prime factors of 215 is discussed.

## Pair Factors of 215

To find the pair factors of 215, multiply the two numbers in a pair to get the original number as 215, such numbers are as follows

If 1 × 215 = 215, then (1, 215) is a pair factor of 215.

Similarly,

5 × 43 = 215, (5, 43) is a pair factor of 215

Therefore, the positive pair factors of 215 are (1, 215), and (5, 43).

### How to calculate the Factors of 215?

Learn the following steps to calculate the factors of 215.

• First, write the number 215
• Find the two numbers, which gives the result as 215 under the multiplication, say 5 and 43, such as 5 × 43 = 215.
• We know that the numbers 5 and 43 are the prime number which has only two factors, i.e., 1 and the number itself, which cannot be further factorized.

5 = 5 × 1

43 = 43 x 1

• Therefore, the factorization of 215 is written as 215 = 1 x 5 x 43

Finally, write down all the unique numbers that are obtained as factors.

 Factors of 215 1, 5, 43, and 215

### Prime Factors of 215 By Division Method

The number 215 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of 215.

Step 1: The first step is to divide the number 215 with the smallest prime factor, say 5.

215 ÷ 5 = 43

Step 2: You will get a fractional number if you divide 43 by 5. So, continue with the next prime factor, say 43.

43 ÷ 43 = 1

Finally, we received the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 215 are written as 5 x 43, where 5 and 43 are the prime numbers.

It is possible to find the exact number of factors of a number 215 with the help of prime factorisation. The prime factor of the 215 is 5 x 43. The exponents in the prime factorisation are 1, and 1. Add the number 1 with the exponents and multiply it. (1+1)(1+1) =2 x 2= 4. Therefore, the number 215 has 4 factors.

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