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Factors of 1180

Factors of 1180 are numbers that, when multiplied in pairs give the product as 1180. There are 12 factors of 1180 of which 1180 itself is the biggest factor and its prime factors are 2, 5, 59 The sum of all factors of 1180 is 2520.

  • All Factors of 1180: 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590 and 1180
  • Prime Factors of 1180: 2, 5, 59
  • Prime Factorization of 1180: 22 × 51 × 591
  • Sum of Factors of 1180: 2520
1. What Are the Factors of 1180?
2. Factors of 1180 by Prime Factorization
3. Factors of 1180 in Pairs
4. FAQs on Factors of 1180
Factors of 1180

What are Factors of 1180?

Factors of 1180 are pairs of those numbers whose products result in 1180. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1180?

To find the factors of 1180, we will have to find the list of numbers that would divide 1180 without leaving any remainder.

  • 1180/5 = 236; therefore, 5 is a factor of 1180 and 236 is also a factor of 1180.
  • 1180/59 = 20; therefore, 59 is a factor of 1180 and 20 is also a factor of 1180.
Similarly we can find other factors. Hence, the factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180.

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Factors of 1180 by Prime Factorization

The number 1180 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1180. The first step is to divide the number 1180 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
  • 1180 ÷ 2 = 590
  • 590 ÷ 2 = 295

Further dividing 295 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 295 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 1180 can be written as 22 × 51 × 591 where 2, 5, 59 are prime.

 

Factors of 1180 in Pairs

Pair factors of 1180 are the pairs of numbers that when multiplied give the product 1180. The factors of 1180 in pairs are:

  • 1 × 1180 = (1, 1180)
  • 2 × 590 = (2, 590)
  • 4 × 295 = (4, 295)
  • 5 × 236 = (5, 236)
  • 10 × 118 = (10, 118)
  • 20 × 59 = (20, 59)

Negative pair factors of 1180 are:

  • -1 × -1180 = (-1, -1180)
  • -2 × -590 = (-2, -590)
  • -4 × -295 = (-4, -295)
  • -5 × -236 = (-5, -236)
  • -10 × -118 = (-10, -118)
  • -20 × -59 = (-20, -59)

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

Factors of 1180 Solved Examples

  1. Example 1: How many factors are there for 1180?

    Solution:

    The factors of 1180 are too many, therefore if we can find the prime factorization of 1180, 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 1180 = 22 × 51 × 591
    Therefore, the total number of factors are (2 + 1) × (1 + 1) × (1 + 1) = 3 × 2 × 2 = 12

  2. Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 1180 and 884.

    Solution:

    The factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180 and factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884.

    Therefore, the Lowest Common Multiple (LCM) of 1180 and 884 is 260780 and Greatest Common Divisor (GCD) of 1180 and 884 is 4.

  3. Example 3: Find if 2, 4, 59, 118, 236, 432 and 590 are factors of 1180.

    Solution:

    When we divide 1180 by 432 it leaves a remainder. Therefore, the number 432 is not a factor of 1180. All numbers except 432 are factors of 1180.

  4. Example 4: Find the product of all the prime factors of 1180.

    Solution:

    Since, the prime factors of 1180 are 2, 5, 59. Therefore, the product of prime factors = 2 × 5 × 59 = 590.

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FAQs on Factors of 1180

What are the Factors of 1180?

The factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180 and its negative factors are -1, -2, -4, -5, -10, -20, -59, -118, -236, -295, -590, -1180.

What is the Sum of Factors of 1180?

Sum of all factors of 1180 = (22 + 1 - 1)/(2 - 1) × (51 + 1 - 1)/(5 - 1) × (591 + 1 - 1)/(59 - 1) = 2520

What are Prime Factors of 1180?

The prime factors of 1180 are 2, 5, 59.

What is the Greatest Common Factor of 1180 and 686?

The factors of 1180 and 686 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180 and 1, 2, 7, 14, 49, 98, 343, 686 respectively.

Common factors of 1180 and 686 are [1, 2].

Hence, the GCF of 1180 and 686 is 2.

How Many Factors of 153 are also common to the Factors of 1180?

Since, the factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180 and factors of 153 are 1, 3, 9, 17, 51, 153. Hence, 1180 and 153 have only one common factor which is 1. Therefore, 1180 and 153 are co-prime.

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