Factors of 722 are the list of integers that we can split evenly into 722. There are overall 6 factors of 722 among which 722 is the biggest factor and 1, 2, 19, 38, 361, 722 are positive factors. The sum of all factors of 722 is 1143. Its Prime Factors are 2 × 19 and (1, 722), (2, 361), (19, 38) are Pair Factors.

• All Factors of 722: 1, 2, 19, 38, 361 and 722
• Negative Factors of 722: -1, -2, -19, -38, -361 and -722
• Prime Factors of 722: 2, 19
• Prime Factorization of 722: 2¹ × 19²
• Sum of Factors of 722: 1143

1.	What Are the Factors of 722?
2.	Factors of 722 by Prime Factorization
3.	Factors of 722 in Pairs
4.	FAQs on Factors of 722

Factors of 722 are pairs of those numbers whose products result in 722. These factors are either prime numbers or composite numbers.

How to Find the Factors of 722?

To find the factors of 722, we will have to find the list of numbers that would divide 722 without leaving any remainder.

• 722/722 = 1; therefore, 722 is a factor of 722.
• 722/19 = 38; therefore, 19 is a factor of 722.

Similarly we can find other factors. Hence, the factors of 722 are 1, 2, 19, 38, 361, 722.

☛ Also Check:

• Factors of 96 - The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 90 - The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
• Factors of 128 - The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
• Factors of 63 - The factors of 63 are 1, 3, 7, 9, 21, 63

The number 722 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 722. The first step is to divide the number 722 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 722 ÷ 2 = 361

Further dividing 361 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 361 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 722 can be written as 2¹ × 19² where 2, 19 are prime.

Pair factors of 722 are the pairs of numbers that when multiplied give the product 722. The factors of 722 in pairs are:

• 1 × 722 = (1, 722)
• 2 × 361 = (2, 361)
• 19 × 38 = (19, 38)

Negative pair factors of 722 are:

• -1 × -722 = (-1, -722)
• -2 × -361 = (-2, -361)
• -19 × -38 = (-19, -38)

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