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Factors of 550

Factors of 550 are integers that can be divided evenly into 550. There are overall 12 factors of 550, of which 2, 5, 11 are its prime factors. The sum of all factors of 550 is 1116.

  • All Factors of 550: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275 and 550
  • Prime Factors of 550: 2, 5, 11
  • Prime Factorization of 550: 21 × 52 × 111
  • Sum of Factors of 550: 1116
1. What Are the Factors of 550?
2. Factors of 550 by Prime Factorization
3. Factors of 550 in Pairs
4. FAQs on Factors of 550
Factors of 550

What are Factors of 550?

Factors of 550 are pairs of those numbers whose products result in 550. These factors are either prime numbers or composite numbers.

How to Find the Factors of 550?

To find the factors of 550, we will have to find the list of numbers that would divide 550 without leaving any remainder.

  • 550/10 = 55; therefore, 10 is a factor of 550 and 55 is also a factor of 550.
  • 550/22 = 25; therefore, 22 is a factor of 550 and 25 is also a factor of 550.
Similarly we can find other factors. Hence, the factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550.

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Factors of 550 by Prime Factorization

The number 550 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 550. The first step is to divide the number 550 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
  • 550 ÷ 2 = 275

Further dividing 275 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 275 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 550 can be written as 21 × 52 × 111 where 2, 5, 11 are prime.

 

Factors of 550 in Pairs

Pair factors of 550 are the pairs of numbers that when multiplied give the product 550. The factors of 550 in pairs are:

  • 1 × 550 = (1, 550)
  • 2 × 275 = (2, 275)
  • 5 × 110 = (5, 110)
  • 10 × 55 = (10, 55)
  • 11 × 50 = (11, 50)
  • 22 × 25 = (22, 25)

Negative pair factors of 550 are:

  • -1 × -550 = (-1, -550)
  • -2 × -275 = (-2, -275)
  • -5 × -110 = (-5, -110)
  • -10 × -55 = (-10, -55)
  • -11 × -50 = (-11, -50)
  • -22 × -25 = (-22, -25)

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

Factors of 550 Solved Examples

  1. Example 1: How many factors are there for 550?

    Solution:

    The factors of 550 are too many, therefore if we can find the prime factorization of 550, then the total number of factors can be calculated using the formula shown below.
    If the prime factorization of the number is ax × by × cz where a, b, c are prime, then the total number of factors can be given by (x + 1)(y + 1)(z + 1).

    Prime Factorization of 550 = 21 × 52 × 111
    Therefore, the total number of factors are (1 + 1) × (2 + 1) × (1 + 1) = 2 × 3 × 2 = 12

  2. Example 2: Find the Least Common Multiple (LCM) and Highest Common Factor (HCF) of 550 and 425.

    Solution:

    The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550 and factors of 425 are 1, 5, 17, 25, 85, 425.

    Therefore, the Least Common Multiple (LCM) of 550 and 425 is 9350 and Highest Common Factor (HCF) of 550 and 425 is 25.

  3. Example 3: Find if 1, 5, 10, 22, 110, 187 and 275 are factors of 550.

    Solution:

    When we divide 550 by 187 it leaves a remainder. Therefore, the number 187 is not a factor of 550. All numbers except 187 are factors of 550.

  4. Example 4: Find the product of all the prime factors of 550.

    Solution:

    Since, the prime factors of 550 are 2, 5, 11. Therefore, the product of prime factors = 2 × 5 × 11 = 110.

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FAQs on Factors of 550

What are the Factors of 550?

The factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550 and its negative factors are -1, -2, -5, -10, -11, -22, -25, -50, -55, -110, -275, -550.

What is the Sum of all the Factors of 550?

Sum of all factors of 550 = (21 + 1 - 1)/(2 - 1) × (52 + 1 - 1)/(5 - 1) × (111 + 1 - 1)/(11 - 1) = 1116

What Numbers are the Prime Factors of 550?

The prime factors of 550 are 2, 5, 11.

What is the Greatest Common Factor of 550 and 434?

The factors of 550 and 434 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550 and 1, 2, 7, 14, 31, 62, 217, 434 respectively.

Common factors of 550 and 434 are [1, 2].

Hence, the Greatest Common Factor (GCF) of 550 and 434 is 2.

How Many Factors of 550 are also common to the Factors of 515?

Since, the factors of 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550 and the factors of 515 are 1, 5, 103, 515.
Hence, [1, 5] are the common factors of 550 and 515.

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