Factors of 368 are the list of integers that we can split evenly into 368. There are 10 factors of 368 of which 368 itself is the biggest factor and its prime factors are 2, 23 The Prime Factorization of 368 is 2⁴ × 23¹.

• All Factors of 368: 1, 2, 4, 8, 16, 23, 46, 92, 184 and 368
• Negative Factors of 368: -1, -2, -4, -8, -16, -23, -46, -92, -184 and -368
• Prime Factors of 368: 2, 23
• Prime Factorization of 368: 2⁴ × 23¹
• Sum of Factors of 368: 744

1.	What Are the Factors of 368?
2.	Factors of 368 by Prime Factorization
3.	Factors of 368 in Pairs
4.	FAQs on Factors of 368

Factors of 368 are pairs of those numbers whose products result in 368. These factors are either prime numbers or composite numbers.

How to Find the Factors of 368?

To find the factors of 368, we will have to find the list of numbers that would divide 368 without leaving any remainder.

• 368/23 = 16; therefore, 23 is a factor of 368 and 16 is also a factor of 368.
• 368/4 = 92; therefore, 4 is a factor of 368 and 92 is also a factor of 368.

Similarly we can find other factors. Hence, the factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368.

☛ Also Check:

• Factors of 21 - The factors of 21 are 1, 3, 7, 21
• Factors of 50 - The factors of 50 are 1, 2, 5, 10, 25, 50
• Factors of 81 - The factors of 81 are 1, 3, 9, 27, 81
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 10 - The factors of 10 are 1, 2, 5, 10

The number 368 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 368. The first step is to divide the number 368 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 368 ÷ 2 = 184
• 184 ÷ 2 = 92
• 92 ÷ 2 = 46
• 46 ÷ 2 = 23

Further dividing 23 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 23 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 368 can be written as 2⁴ × 23¹ where 2, 23 are prime.

Pair factors of 368 are the pairs of numbers that when multiplied give the product 368. The factors of 368 in pairs are:

• 1 × 368 = (1, 368)
• 2 × 184 = (2, 184)
• 4 × 92 = (4, 92)
• 8 × 46 = (8, 46)
• 16 × 23 = (16, 23)

Negative pair factors of 368 are:

• -1 × -368 = (-1, -368)
• -2 × -184 = (-2, -184)
• -4 × -92 = (-4, -92)
• -8 × -46 = (-8, -46)
• -16 × -23 = (-16, -23)

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