Factors of 350 are integers that can be divided evenly into 350. There are overall 12 factors of 350 among which 350 is the biggest factor and 2, 5, 7 are its prime factors. The sum of all factors of 350 is 744.

• All Factors of 350: 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175 and 350
• Prime Factors of 350: 2, 5, 7
• Prime Factorization of 350: 2¹ × 5² × 7¹
• Sum of Factors of 350: 744

1.	What Are the Factors of 350?
2.	Factors of 350 by Prime Factorization
3.	Factors of 350 in Pairs
4.	FAQs on Factors of 350

Factors of 350 are pairs of those numbers whose products result in 350. These factors are either prime numbers or composite numbers.

How to Find the Factors of 350?

To find the factors of 350, we will have to find the list of numbers that would divide 350 without leaving any remainder.

• 350/175 = 2; therefore, 175 is a factor of 350 and 2 is also a factor of 350.
• 350/35 = 10; therefore, 35 is a factor of 350 and 10 is also a factor of 350.

Similarly we can find other factors. Hence, the factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350.

☛ Also Check:

• Factors of 41 - The factors of 41 are 1, 41
• Factors of 91 - The factors of 91 are 1, 7, 13, 91
• Factors of 84 - The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 180 - The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
• Factors of 9 - The factors of 9 are 1, 3, 9

The number 350 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 350. The first step is to divide the number 350 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.

• 350 ÷ 2 = 175

Further dividing 175 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 175 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 350 can be written as 2¹ × 5² × 7¹ where 2, 5, 7 are prime.

Pair factors of 350 are the pairs of numbers that when multiplied give the product 350. The factors of 350 in pairs are:

• 1 × 350 = (1, 350)
• 2 × 175 = (2, 175)
• 5 × 70 = (5, 70)
• 7 × 50 = (7, 50)
• 10 × 35 = (10, 35)
• 14 × 25 = (14, 25)

Negative pair factors of 350 are:

• -1 × -350 = (-1, -350)
• -2 × -175 = (-2, -175)
• -5 × -70 = (-5, -70)
• -7 × -50 = (-7, -50)
• -10 × -35 = (-10, -35)
• -14 × -25 = (-14, -25)

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