Factors of 378 are numbers that, when multiplied in pairs give the product as 378. There are 16 factors of 378 of which 378 itself is the biggest factor and its prime factors are 2, 3, 7 The Prime Factorization of 378 is 2¹ × 3³ × 7¹.

• All Factors of 378: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189 and 378
• Prime Factors of 378: 2, 3, 7
• Prime Factorization of 378: 2¹ × 3³ × 7¹
• Sum of Factors of 378: 960

1.	What Are the Factors of 378?
2.	Factors of 378 by Prime Factorization
3.	Factors of 378 in Pairs
4.	FAQs on Factors of 378

Factors of 378 are pairs of those numbers whose products result in 378. These factors are either prime numbers or composite numbers.

How to Find the Factors of 378?

To find the factors of 378, we will have to find the list of numbers that would divide 378 without leaving any remainder.

• 378/6 = 63; therefore, 6 is a factor of 378 and 63 is also a factor of 378.
• 378/27 = 14; therefore, 27 is a factor of 378 and 14 is also a factor of 378.

Similarly we can find other factors. Hence, the factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378.

☛ Also Check:

• Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
• Factors of 80 - The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 26 - The factors of 26 are 1, 2, 13, 26
• Factors of 78 - The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
• Factors of 108 - The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

The number 378 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 378. The first step is to divide the number 378 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 378 ÷ 2 = 189

Further dividing 189 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 189 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 378 can be written as 2¹ × 3³ × 7¹ where 2, 3, 7 are prime.

Pair factors of 378 are the pairs of numbers that when multiplied give the product 378. The factors of 378 in pairs are:

• 1 × 378 = (1, 378)
• 2 × 189 = (2, 189)
• 3 × 126 = (3, 126)
• 6 × 63 = (6, 63)
• 7 × 54 = (7, 54)
• 9 × 42 = (9, 42)
• 14 × 27 = (14, 27)
• 18 × 21 = (18, 21)

Negative pair factors of 378 are:

• -1 × -378 = (-1, -378)
• -2 × -189 = (-2, -189)
• -3 × -126 = (-3, -126)
• -6 × -63 = (-6, -63)
• -7 × -54 = (-7, -54)
• -9 × -42 = (-9, -42)
• -14 × -27 = (-14, -27)
• -18 × -21 = (-18, -21)

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