 # Factors of 215

The factors of 215 are the numbers, that produce the result as 215 when two numbers are multiplied together. Consider an example, the factor pairs of 89 is written as (1, 89) and (-1,-89). When we multiply the pair of negative factors, the result should give the original number, such as multiplying -1 × -89 then we get the number 89. Thus, we can consider both positive and negative factor pairs of 89. Factor pairs of the number 215 are the whole numbers which could be either positive or negative but not a fraction or decimal number. 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).

To find the negative pair factors of 215, then proceed with the following steps

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 negative 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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