Factors of 724 are the list of integers that can be evenly divided into 724. There are overall 6 factors of 724 among which 724 is the biggest factor and 1, 2, 4, 181, 362, 724 are positive factors. The Prime Factors and Pair Factors of 724 are 2 × 181 and (1, 724), (2, 362), (4, 181) respectively.

• All Factors of 724: 1, 2, 4, 181, 362 and 724
• Negative Factors of 724: -1, -2, -4, -181, -362 and -724
• Prime Factors of 724: 2, 181
• Prime Factorization of 724: 2² × 181¹
• Sum of Factors of 724: 1274

1.	What Are the Factors of 724?
2.	Factors of 724 by Prime Factorization
3.	Factors of 724 in Pairs
4.	FAQs on Factors of 724

Factors of 724 are pairs of those numbers whose products result in 724. These factors are either prime numbers or composite numbers.

How to Find the Factors of 724?

To find the factors of 724, we will have to find the list of numbers that would divide 724 without leaving any remainder.

• 724/724 = 1; therefore, 724 is a factor of 724.
• 724/362 = 2; therefore, 362 is a factor of 724.

Similarly we can find other factors. Hence, the factors of 724 are 1, 2, 4, 181, 362, 724.

☛ Also Check:

• Factors of 36 - The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
• Factors of 8 - The factors of 8 are 1, 2, 4, 8
• Factors of 51 - The factors of 51 are 1, 3, 17, 51
• Factors of 75 - The factors of 75 are 1, 3, 5, 15, 25, 75
• Factors of 28 - The factors of 28 are 1, 2, 4, 7, 14, 28

The number 724 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 724. The first step is to divide the number 724 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 724 ÷ 2 = 362
• 362 ÷ 2 = 181

Further dividing 181 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 181 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 724 can be written as 2² × 181¹ where 2, 181 are prime.

Pair factors of 724 are the pairs of numbers that when multiplied give the product 724. The factors of 724 in pairs are:

• 1 × 724 = (1, 724)
• 2 × 362 = (2, 362)
• 4 × 181 = (4, 181)

Negative pair factors of 724 are:

• -1 × -724 = (-1, -724)
• -2 × -362 = (-2, -362)
• -4 × -181 = (-4, -181)

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