Factors of 730 are the list of integers that we can split evenly into 730. There are 8 factors of 730 of which 730 itself is the biggest factor and its positive factors are 1, 2, 5, 10, 73, 146, 365, 730. The Prime Factors and Pair Factors of 730 are 2 × 5 × 73 and (1, 730), (2, 365), (5, 146), (10, 73) respectively.

• All Factors of 730: 1, 2, 5, 10, 73, 146, 365 and 730
• Negative Factors of 730: -1, -2, -5, -10, -73, -146, -365 and -730
• Prime Factors of 730: 2, 5, 73
• Prime Factorization of 730: 2¹ × 5¹ × 73¹
• Sum of Factors of 730: 1332

1.	What Are the Factors of 730?
2.	Factors of 730 by Prime Factorization
3.	Factors of 730 in Pairs
4.	FAQs on Factors of 730

Factors of 730 are pairs of those numbers whose products result in 730. These factors are either prime numbers or composite numbers.

How to Find the Factors of 730?

To find the factors of 730, we will have to find the list of numbers that would divide 730 without leaving any remainder.

• 730/5 = 146; therefore, 5 is a factor of 730 and 146 is also a factor of 730.
• 730/2 = 365; therefore, 2 is a factor of 730 and 365 is also a factor of 730.

Similarly we can find other factors. Hence, the factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730.

☛ Also Check:

• Factors of 66 - The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66
• Factors of 8 - The factors of 8 are 1, 2, 4, 8
• Factors of 30 - The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
• Factors of 33 - The factors of 33 are 1, 3, 11, 33
• Factors of 49 - The factors of 49 are 1, 7, 49

The number 730 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 730. The first step is to divide the number 730 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 730 ÷ 2 = 365

Further dividing 365 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 365 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 730 can be written as 2¹ × 5¹ × 73¹ where 2, 5, 73 are prime.

Pair factors of 730 are the pairs of numbers that when multiplied give the product 730. The factors of 730 in pairs are:

• 1 × 730 = (1, 730)
• 2 × 365 = (2, 365)
• 5 × 146 = (5, 146)
• 10 × 73 = (10, 73)

Negative pair factors of 730 are:

• -1 × -730 = (-1, -730)
• -2 × -365 = (-2, -365)
• -5 × -146 = (-5, -146)
• -10 × -73 = (-10, -73)

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