Factors of 740 are the list of integers that we can split evenly into 740. There are 12 factors of 740, of which the following are its prime factors 2, 5, 37. The Prime Factorization of 740 is 2² × 5¹ × 37¹.

• All Factors of 740: 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370 and 740
• Prime Factors of 740: 2, 5, 37
• Prime Factorization of 740: 2² × 5¹ × 37¹
• Sum of Factors of 740: 1596

1.	What Are the Factors of 740?
2.	Factors of 740 by Prime Factorization
3.	Factors of 740 in Pairs
4.	FAQs on Factors of 740

Factors of 740 are pairs of those numbers whose products result in 740. These factors are either prime numbers or composite numbers.

How to Find the Factors of 740?

To find the factors of 740, we will have to find the list of numbers that would divide 740 without leaving any remainder.

• 740/37 = 20; therefore, 37 is a factor of 740 and 20 is also a factor of 740.
• 740/2 = 370; therefore, 2 is a factor of 740 and 370 is also a factor of 740.

Similarly we can find other factors. Hence, the factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740.

☛ Also Check:

• Factors of 48 - The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
• Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28
• Factors of 8 - The factors of 8 are 1, 2, 4, 8
• Factors of 21 - The factors of 21 are 1, 3, 7, 21
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128

The number 740 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 740. The first step is to divide the number 740 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 740 ÷ 2 = 370
• 370 ÷ 2 = 185

Further dividing 185 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 185 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 740 can be written as 2² × 5¹ × 37¹ where 2, 5, 37 are prime.

Pair factors of 740 are the pairs of numbers that when multiplied give the product 740. The factors of 740 in pairs are:

• 1 × 740 = (1, 740)
• 2 × 370 = (2, 370)
• 4 × 185 = (4, 185)
• 5 × 148 = (5, 148)
• 10 × 74 = (10, 74)
• 20 × 37 = (20, 37)

Negative pair factors of 740 are:

• -1 × -740 = (-1, -740)
• -2 × -370 = (-2, -370)
• -4 × -185 = (-4, -185)
• -5 × -148 = (-5, -148)
• -10 × -74 = (-10, -74)
• -20 × -37 = (-20, -37)

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