Factors of 412 are numbers that, when multiplied in pairs give the product as 412. There are 6 factors of 412, which are 1, 2, 4, 103, 206, 412. Here, 412 is the biggest factor. The Prime Factors and Pair Factors of 412 are 2 × 103 and (1, 412), (2, 206), (4, 103) respectively.

• All Factors of 412: 1, 2, 4, 103, 206 and 412
• Negative Factors of 412: -1, -2, -4, -103, -206 and -412
• Prime Factors of 412: 2, 103
• Prime Factorization of 412: 2² × 103¹
• Sum of Factors of 412: 728

1.	What Are the Factors of 412?
2.	Factors of 412 by Prime Factorization
3.	Factors of 412 in Pairs
4.	FAQs on Factors of 412

Factors of 412 are pairs of those numbers whose products result in 412. These factors are either prime numbers or composite numbers.

How to Find the Factors of 412?

To find the factors of 412, we will have to find the list of numbers that would divide 412 without leaving any remainder.

• 412/1 = 412; therefore, 1 is a factor of 412.
• 412/103 = 4; therefore, 103 is a factor of 412.

Similarly we can find other factors. Hence, the factors of 412 are 1, 2, 4, 103, 206, 412.

☛ Also Check:

• Factors of 14 - The factors of 14 are 1, 2, 7, 14
• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63
• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 35 - The factors of 35 are 1, 5, 7, 35
• Factors of 15 - The factors of 15 are 1, 3, 5, 15

The number 412 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 412. The first step is to divide the number 412 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 412 ÷ 2 = 206
• 206 ÷ 2 = 103

Further dividing 103 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 103 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 412 can be written as 2² × 103¹ where 2, 103 are prime.

Pair factors of 412 are the pairs of numbers that when multiplied give the product 412. The factors of 412 in pairs are:

• 1 × 412 = (1, 412)
• 2 × 206 = (2, 206)
• 4 × 103 = (4, 103)

Negative pair factors of 412 are:

• -1 × -412 = (-1, -412)
• -2 × -206 = (-2, -206)
• -4 × -103 = (-4, -103)

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