Factors of 213 are numbers that, when multiplied in pairs give the product as 213. There are overall 4 factors of 213 among which 213 is the biggest factor and its positive factors are 1, 3, 71, 213. The sum of all factors of 213 is 288. Its Prime Factors are 3 × 71 and (1, 213), (3, 71) are Pair Factors.

• All Factors of 213: 1, 3, 71 and 213
• Negative Factors of 213: -1, -3, -71 and -213
• Prime Factors of 213: 3, 71
• Prime Factorization of 213: 3¹ × 71¹
• Sum of Factors of 213: 288

1.	What Are the Factors of 213?
2.	Factors of 213 by Prime Factorization
3.	Factors of 213 in Pairs
4.	FAQs on Factors of 213

Factors of 213 are pairs of those numbers whose products result in 213. These factors are either prime numbers or composite numbers.

How to Find the Factors of 213?

To find the factors of 213, we will have to find the list of numbers that would divide 213 without leaving any remainder.

• 213/3 = 71; therefore, 3 is a factor of 213 and 71 is also a factor of 213.
• 213/1 = 213; therefore, 1 is a factor of 213 and 213 is also a factor of 213.

Similarly we can find other factors. Hence, the factors of 213 are 1, 3, 71, 213.

☛ Also Check:

• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 31 - The factors of 31 are 1, 31
• Factors of 144 - The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
• Factors of 5 - The factors of 5 are 1, 5
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50

The number 213 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 213. The first step is to divide the number 213 with the smallest prime factor, here it is 3. We keep dividing until it gives a non-zero remainder.

• 213 ÷ 3 = 71

Further dividing 71 by 3 gives a non-zero remainder. So we stop the process and continue dividing the number 71 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 213 can be written as 3¹ × 71¹ where 3, 71 are prime.

Pair factors of 213 are the pairs of numbers that when multiplied give the product 213. The factors of 213 in pairs are:

• 1 × 213 = (1, 213)
• 3 × 71 = (3, 71)

Negative pair factors of 213 are:

• -1 × -213 = (-1, -213)
• -3 × -71 = (-3, -71)

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