Factors of 217 are integers that can be divided evenly into 217. It has a total of 4 factors of which 217 is the biggest factor and the positive factors of 217 are 1, 7, 31, 217. The Prime Factors and Pair Factors of 217 are 7 × 31 and (1, 217), (7, 31) respectively.

• All Factors of 217: 1, 7, 31 and 217
• Negative Factors of 217: -1, -7, -31 and -217
• Prime Factors of 217: 7, 31
• Prime Factorization of 217: 7¹ × 31¹
• Sum of Factors of 217: 256

1.	What Are the Factors of 217?
2.	Factors of 217 by Prime Factorization
3.	Factors of 217 in Pairs
4.	FAQs on Factors of 217

Factors of 217 are pairs of those numbers whose products result in 217. These factors are either prime numbers or composite numbers.

How to Find the Factors of 217?

To find the factors of 217, we will have to find the list of numbers that would divide 217 without leaving any remainder.

• 217/7 = 31; therefore, 7 is a factor of 217 and 31 is also a factor of 217.
• 217/217 = 1; therefore, 217 is a factor of 217 and 1 is also a factor of 217.

Similarly we can find other factors. Hence, the factors of 217 are 1, 7, 31, 217.

☛ Also Check:

• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 23 - The factors of 23 are 1, 23
• Factors of 49 - The factors of 49 are 1, 7, 49
• Factors of 55 - The factors of 55 are 1, 5, 11, 55
• Factors of 15 - The factors of 15 are 1, 3, 5, 15

The number 217 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 217. The first step is to divide the number 217 with the smallest prime factor, here it is 7. We keep dividing until it gives a non-zero remainder.

• 217 ÷ 7 = 31

Further dividing 31 by 7 gives a non-zero remainder. So we stop the process and continue dividing the number 31 by the next smallest prime factor. We stop ultimately if the next prime factor doesn't exist or when we can't divide any further.

So, the prime factorization of 217 can be written as 7¹ × 31¹ where 7, 31 are prime.

Pair factors of 217 are the pairs of numbers that when multiplied give the product 217. The factors of 217 in pairs are:

• 1 × 217 = (1, 217)
• 7 × 31 = (7, 31)

Negative pair factors of 217 are:

• -1 × -217 = (-1, -217)
• -7 × -31 = (-7, -31)

NOTE: If (a, b) is a pair factor of a number then (b, a) is also a pair factor of that number.