Factors of 215 | Prime Factorization of 215 | Factor Tree of 215

The number 215 has 4 factors. The factors of 215 are 1, 5, 43, and 215 as these numbers divide the number 215 evenly.

The factors of a number can be both positive and negative and they are also written in the pair format. This means multiplying the set of two factors in pairs gives the original product (215).

In this article, let us discuss how to find factors of 215, its prime factorization, and factor trees with solved examples. Continue reading to learn more.

Looking to Learn Math? Explore Wiingy’s Online Math Tutoring Services to learn from top mathematicians and experts.

What Are the Factors of 215?

The factors of 215 are the numbers that divide the number (215) evenly without leaving any remainder. The factors of a number can be both positive and negative. Hence, the number 215 has both positive and negative factors.

Factors of 215	1, 5, 43, and 215
Negative Factors of 215	-1, -5, -43, and -215
Prime Factorization of 215	5 X 43 or 5 X 43
Prime Factors of 215	5, 43
Sum of Factors of 215	264
Sum of Prime Factors of 215	48

What Are the Factors of 215 in Pairs?

A pair factor of 215 is a combination of two numbers, which when multiplied together gives the product of the original number (215). These pair factors are also written in positive and negative pairs as shown in the table below:

Positive Pair Factors of 215

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

Negative Pair Factors of 215

The negative pair factors of 215 are (-1, -215) and (-5, -43).

How To Find Factors of 215 Through Division Method?

As we know that the factors of 215 can be found through the division method, we should learn and understand it now. Through this method, you will divide 215 with all integers till the remainder becomes 1. Ones that will leave no remainder after being divided by 215, are known as factors of 215. This is quite a long procedure. Let’s head right into it.

215 ÷ 1 = 215

215 ÷ 5 = 54

215 ÷ 43 = 5

215 ÷ 215 = 1

As we can see, only 1, 5, 43, and 215 get completely divided by 215 without a remainder being left. So, we can conclude that 1, 5, 43, and 215 are the factors of 215.

What Is the Prime Factorization of 215?

There is a method to find prime factors of 215. This method is called prime factorization. Let us go through step by step to understand how this method works:

Step 1: Firstly, we will take 215. Now, we will take a factor of 215 to divide it.

Step 2: So, we will choose 5 to divide it with.

215 ÷ 5 = 43

Step 3: As we can see, we have 43, but since 43 is a composite number, it can only be divided by 1 or 43 itself. So, we will divide 43 by 43.

43 ÷ 43 = 1

Step 4: Since we have reached one as quotient, we cannot divide it anymore.

Hence, we can conclude that 5 X 43 or 5¹ X 43¹ are the prime factors of 215. We can also write it down as 5 and 43, as both of them are prime numbers.

What is the Factor Tree of 215?

Students can also use the factor tree to find the prime factors of 215. In this method, we will place the number 215 at the top of the factor tree. Now, as part of the branches, we will write down any set of pair factors of the given number (215). Now, again, we will split the pair of factors into factors. This process will be continued until the branches become prime numbers. Now, circling all the prime numbers will give us the prime factors of 215.

Step 1: Let’s place the number 215 at the top of the factor tree and write down 215 in pairs, that is, 5 and 43.

Step 2: We can see that 5 and 43 are both prime numbers. The branches in the factor tree will now be all the prime numbers.

Hence, circling all the branches, 5¹ X 43¹ or 5 X 43= 215, which are 215 prime factors.

There are many ways in which we can write the factor tree of 215. Below is an image representation of the factor tree of 215:

Solved Examples on Factors of 215

What is the sum of all the factors of 215?
1, 5, 43, and 215 are the factors of 215.
1 + 5 + 43 + 215 = 264
Hence, 264 is the sum of all factors of 215.

Is 43 a factor of 215?
Yes, 43 is a factor of 215.
As 215 ÷ 43 = 5.

Is 115 a factor of 215?
No, 115 is not a factor of 215.
As 215 ÷ 115 = leaves a remainder.

What are the common factors of 215 and 35?
The factors of 215 are 1, 5, 43, and 215.
Factors of 35 are 1, 5, 7, and 35.
Hence, from the above, the common factors of 215 and 35 are 1 and 5.
The highest common factor between 215 and 35 is 5.

What are the common factors of 215 and 60?
The factors of 215 are 1, 5, 43, and 215.
Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.
Hence, from the above, the common factors of 215 and 60 are 1 and 5.
The highest common factor between 215 and 60 is 5.

How many factors of 215 are odd numbers?
All factors of 215 are odd numbers and they are 1, 5, 43, and 215.
Hence, 215 has 4 odd factors.

Which is the largest factor of 215?
The largest factor of 215 is 215 itself.
The second largest factor of 215 is 43.

Looking to Learn Math? Explore Wiingy’s Online Math Tutoring Services to learn from top mathematicians and experts.

FAQs on Factors of 215

What are the factors and prime factors of 215?
The factors of 215 are 1, 5, 43, and 215.
The prime factors of 215 are 5 X 43 or 5¹ X 43¹.

What are the composite factors of 215?
215 is the only composite factor of 215.

How many pair factors are there in 215?
A total of 2 pairs are there in factors of 215.

What are the positive factors for 215?
1, 5, 43, and 215 are the positive factors for 215.

What are the factors of 215 in pairs?
(1, 215) and (5, 43) are the factors of 215 in pairs.

What are the factors of -215?
-1, -5, -43, and -215 are the factors of -215.

Now that you have all the necessary information regarding the factors of 215, We hope this blog has been useful for you and easy to understand as well.