Factors of 406 are numbers that, when multiplied in pairs give the product as 406. It has a total of 8 factors of which 406 is the biggest factor and the positive factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406. The sum of all factors of 406 is 720. Its Prime Factors are 2 × 7 × 29 and (1, 406), (2, 203), (7, 58), (14, 29) are Pair Factors.

• All Factors of 406: 1, 2, 7, 14, 29, 58, 203 and 406
• Negative Factors of 406: -1, -2, -7, -14, -29, -58, -203 and -406
• Prime Factors of 406: 2, 7, 29
• Prime Factorization of 406: 2¹ × 7¹ × 29¹
• Sum of Factors of 406: 720

1.	What Are the Factors of 406?
2.	Factors of 406 by Prime Factorization
3.	Factors of 406 in Pairs
4.	FAQs on Factors of 406

Factors of 406 are pairs of those numbers whose products result in 406. These factors are either prime numbers or composite numbers.

How to Find the Factors of 406?

To find the factors of 406, we will have to find the list of numbers that would divide 406 without leaving any remainder.

• 406/2 = 203; therefore, 2 is a factor of 406 and 203 is also a factor of 406.
• 406/58 = 7; therefore, 58 is a factor of 406 and 7 is also a factor of 406.

Similarly we can find other factors. Hence, the factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406.

☛ Also Check:

• Factors of 52 - The factors of 52 are 1, 2, 4, 13, 26, 52
• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
• Factors of 23 - The factors of 23 are 1, 23
• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 42 - The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

The number 406 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 406. The first step is to divide the number 406 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 406 ÷ 2 = 203

Further dividing 203 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 203 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 406 can be written as 2¹ × 7¹ × 29¹ where 2, 7, 29 are prime.

Pair factors of 406 are the pairs of numbers that when multiplied give the product 406. The factors of 406 in pairs are:

• 1 × 406 = (1, 406)
• 2 × 203 = (2, 203)
• 7 × 58 = (7, 58)
• 14 × 29 = (14, 29)

Negative pair factors of 406 are:

• -1 × -406 = (-1, -406)
• -2 × -203 = (-2, -203)
• -7 × -58 = (-7, -58)
• -14 × -29 = (-14, -29)

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