Factors of 738 are the list of integers that we can split evenly into 738. It has total 12 factors of which 738 is the biggest factor and the prime factors of 738 are 2, 3, 41. The sum of all factors of 738 is 1638.

• All Factors of 738: 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369 and 738
• Prime Factors of 738: 2, 3, 41
• Prime Factorization of 738: 2¹ × 3² × 41¹
• Sum of Factors of 738: 1638

1.	What Are the Factors of 738?
2.	Factors of 738 by Prime Factorization
3.	Factors of 738 in Pairs
4.	FAQs on Factors of 738

Factors of 738 are pairs of those numbers whose products result in 738. These factors are either prime numbers or composite numbers.

How to Find the Factors of 738?

To find the factors of 738, we will have to find the list of numbers that would divide 738 without leaving any remainder.

• 738/18 = 41; therefore, 18 is a factor of 738 and 41 is also a factor of 738.
• 738/246 = 3; therefore, 246 is a factor of 738 and 3 is also a factor of 738.

Similarly we can find other factors. Hence, the factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738.

☛ Also Check:

• Factors of 121 - The factors of 121 are 1, 11, 121
• Factors of 22 - The factors of 22 are 1, 2, 11, 22
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 40 - The factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40
• Factors of 98 - The factors of 98 are 1, 2, 7, 14, 49, 98

The number 738 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 738. The first step is to divide the number 738 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 738 ÷ 2 = 369

Further dividing 369 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 369 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 738 can be written as 2¹ × 3² × 41¹ where 2, 3, 41 are prime.

Pair factors of 738 are the pairs of numbers that when multiplied give the product 738. The factors of 738 in pairs are:

• 1 × 738 = (1, 738)
• 2 × 369 = (2, 369)
• 3 × 246 = (3, 246)
• 6 × 123 = (6, 123)
• 9 × 82 = (9, 82)
• 18 × 41 = (18, 41)

Negative pair factors of 738 are:

• -1 × -738 = (-1, -738)
• -2 × -369 = (-2, -369)
• -3 × -246 = (-3, -246)
• -6 × -123 = (-6, -123)
• -9 × -82 = (-9, -82)
• -18 × -41 = (-18, -41)

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