A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
LearnPracticeDownload

 

Factors of 532

Factors of 532 are the list of integers that can be evenly divided into 532. There are overall 12 factors of 532, of which 2, 7, 19 are its prime factors. The Prime Factorization of 532 is 22 × 71 × 191.

  • All Factors of 532: 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266 and 532
  • Prime Factors of 532: 2, 7, 19
  • Prime Factorization of 532: 22 × 71 × 191
  • Sum of Factors of 532: 1120
1. What Are the Factors of 532?
2. Factors of 532 by Prime Factorization
3. Factors of 532 in Pairs
4. FAQs on Factors of 532
Factors of 532

What are Factors of 532?

Factors of 532 are pairs of those numbers whose products result in 532. These factors are either prime numbers or composite numbers.

How to Find the Factors of 532?

To find the factors of 532, we will have to find the list of numbers that would divide 532 without leaving any remainder.

  • 532/14 = 38; therefore, 14 is a factor of 532 and 38 is also a factor of 532.
  • 532/28 = 19; therefore, 28 is a factor of 532 and 19 is also a factor of 532.
Similarly we can find other factors. Hence, the factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532.

☛ Also Check:

Factors of 532 by Prime Factorization

The number 532 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 532. The first step is to divide the number 532 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
  • 532 ÷ 2 = 266
  • 266 ÷ 2 = 133

Further dividing 133 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 133 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 532 can be written as 22 × 71 × 191 where 2, 7, 19 are prime.

 

Factors of 532 in Pairs

Pair factors of 532 are the pairs of numbers that when multiplied give the product 532. The factors of 532 in pairs are:

  • 1 × 532 = (1, 532)
  • 2 × 266 = (2, 266)
  • 4 × 133 = (4, 133)
  • 7 × 76 = (7, 76)
  • 14 × 38 = (14, 38)
  • 19 × 28 = (19, 28)

Negative pair factors of 532 are:

  • -1 × -532 = (-1, -532)
  • -2 × -266 = (-2, -266)
  • -4 × -133 = (-4, -133)
  • -7 × -76 = (-7, -76)
  • -14 × -38 = (-14, -38)
  • -19 × -28 = (-19, -28)

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

Factors of 532 Solved Examples

  1. Example 1: How many factors are there for 532?

    Solution:

    The factors of 532 are too many, therefore if we can find the prime factorization of 532, 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 532 = 22 × 71 × 191
    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 Highest Common Factor (HCF) of 532 and 487.

    Solution:

    The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532 and factors of 487 are 1, 487.

    Therefore, the Lowest Common Multiple (LCM) of 532 and 487 is 259084 and Highest Common Factor (HCF) of 532 and 487 is 1.

  3. Example 3: Find if 1, 2, 14, 19, 38, 76 and 524 are factors of 532.

    Solution:

    When we divide 532 by 524 it leaves a remainder. Therefore, the number 524 is not a factor of 532. All numbers except 524 are factors of 532.

  4. Example 4: Find the product of all the prime factors of 532.

    Solution:

    Since, the prime factors of 532 are 2, 7, 19. Therefore, the product of prime factors = 2 × 7 × 19 = 266.

Show Solution >

go to slidego to slidego to slidego to slide

 

Ready to see the world through math’s eyes?
Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything. 

Book a Free Trial Class

 

FAQs on Factors of 532

What are the Factors of 532?

The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532 and its negative factors are -1, -2, -4, -7, -14, -19, -28, -38, -76, -133, -266, -532.

What is the Sum of the Factors of 532?

Sum of all factors of 532 = (22 + 1 - 1)/(2 - 1) × (71 + 1 - 1)/(7 - 1) × (191 + 1 - 1)/(19 - 1) = 1120

What are the Prime Factors of 532?

The prime factors of 532 are 2, 7, 19.

What is the Greatest Common Factor of 532 and 154?

The factors of 532 and 154 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532 and 1, 2, 7, 11, 14, 22, 77, 154 respectively.

Common factors of 532 and 154 are [1, 2, 7, 14].

Hence, the GCF of 532 and 154 is 14.

How Many Factors of 360 are also common to the Factors of 532?

Since, the factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532 and the factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360.
Hence, [1, 2, 4] are the common factors of 532 and 360.

Math worksheets and
visual curriculum