Factors of 408 are integers that can be divided evenly into 408. There are total 16 factors of 408, of which 2, 3, 17 are its prime factors. The sum of all factors of 408 is 1080.

• All Factors of 408: 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204 and 408
• Prime Factors of 408: 2, 3, 17
• Prime Factorization of 408: 2³ × 3¹ × 17¹
• Sum of Factors of 408: 1080

1.	What Are the Factors of 408?
2.	Factors of 408 by Prime Factorization
3.	Factors of 408 in Pairs
4.	FAQs on Factors of 408

Factors of 408 are pairs of those numbers whose products result in 408. These factors are either prime numbers or composite numbers.

How to Find the Factors of 408?

To find the factors of 408, we will have to find the list of numbers that would divide 408 without leaving any remainder.

• 408/12 = 34; therefore, 12 is a factor of 408 and 34 is also a factor of 408.
• 408/68 = 6; therefore, 68 is a factor of 408 and 6 is also a factor of 408.

Similarly we can find other factors. Hence, the factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408.

☛ Also Check:

• Factors of 17 - The factors of 17 are 1, 17
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 10 - The factors of 10 are 1, 2, 5, 10
• Factors of 14 - The factors of 14 are 1, 2, 7, 14

The number 408 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 408. The first step is to divide the number 408 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 408 ÷ 2 = 204
• 204 ÷ 2 = 102
• 102 ÷ 2 = 51

Further dividing 51 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 51 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 408 can be written as 2³ × 3¹ × 17¹ where 2, 3, 17 are prime.

Pair factors of 408 are the pairs of numbers that when multiplied give the product 408. The factors of 408 in pairs are:

• 1 × 408 = (1, 408)
• 2 × 204 = (2, 204)
• 3 × 136 = (3, 136)
• 4 × 102 = (4, 102)
• 6 × 68 = (6, 68)
• 8 × 51 = (8, 51)
• 12 × 34 = (12, 34)
• 17 × 24 = (17, 24)

Negative pair factors of 408 are:

• -1 × -408 = (-1, -408)
• -2 × -204 = (-2, -204)
• -3 × -136 = (-3, -136)
• -4 × -102 = (-4, -102)
• -6 × -68 = (-6, -68)
• -8 × -51 = (-8, -51)
• -12 × -34 = (-12, -34)
• -17 × -24 = (-17, -24)

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