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Factors of 1452

Factors of 1452 are integers that can be divided evenly into 1452. There are overall 18 factors of 1452 among which 1452 is the biggest factor and 2, 3, 11 are its prime factors. The Prime Factorization of 1452 is 22 × 31 × 112.

  • All Factors of 1452: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726 and 1452
  • Prime Factors of 1452: 2, 3, 11
  • Prime Factorization of 1452: 22 × 31 × 112
  • Sum of Factors of 1452: 3724
1. What Are the Factors of 1452?
2. Factors of 1452 by Prime Factorization
3. Factors of 1452 in Pairs
4. FAQs on Factors of 1452
Factors of 1452

What are Factors of 1452?

Factors of 1452 are pairs of those numbers whose products result in 1452. These factors are either prime numbers or composite numbers.

How to Find the Factors of 1452?

To find the factors of 1452, we will have to find the list of numbers that would divide 1452 without leaving any remainder.

  • 1452/242 = 6; therefore, 242 is a factor of 1452 and 6 is also a factor of 1452.
  • 1452/132 = 11; therefore, 132 is a factor of 1452 and 11 is also a factor of 1452.
Similarly we can find other factors. Hence, the factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452.

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Factors of 1452 by Prime Factorization

The number 1452 is composite and therefore it will have prime factors. Now let us learn how to calculate the prime factors of 1452. The first step is to divide the number 1452 with the smallest prime factor, here it is 2. We keep dividing until it gives a non-zero remainder.
  • 1452 ÷ 2 = 726
  • 726 ÷ 2 = 363

Further dividing 363 by 2 gives a non-zero remainder. So we stop the process and continue dividing the number 363 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 1452 can be written as 22 × 31 × 112 where 2, 3, 11 are prime.

 

Factors of 1452 in Pairs

Pair factors of 1452 are the pairs of numbers that when multiplied give the product 1452. The factors of 1452 in pairs are:

  • 1 × 1452 = (1, 1452)
  • 2 × 726 = (2, 726)
  • 3 × 484 = (3, 484)
  • 4 × 363 = (4, 363)
  • 6 × 242 = (6, 242)
  • 11 × 132 = (11, 132)
  • 12 × 121 = (12, 121)
  • 22 × 66 = (22, 66)
  • 33 × 44 = (33, 44)

Negative pair factors of 1452 are:

  • -1 × -1452 = (-1, -1452)
  • -2 × -726 = (-2, -726)
  • -3 × -484 = (-3, -484)
  • -4 × -363 = (-4, -363)
  • -6 × -242 = (-6, -242)
  • -11 × -132 = (-11, -132)
  • -12 × -121 = (-12, -121)
  • -22 × -66 = (-22, -66)
  • -33 × -44 = (-33, -44)

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

Factors of 1452 Solved Examples

  1. Example 1: How many factors are there for 1452?

    Solution:

    The factors of 1452 are too many, therefore if we can find the prime factorization of 1452, 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 1452 = 22 × 31 × 112
    Therefore, the total number of factors are (2 + 1) × (1 + 1) × (2 + 1) = 3 × 2 × 3 = 18

  2. Example 2: Find the Lowest Common Multiple (LCM) and Greatest Common Divisor (GCD) of 1452 and 572.

    Solution:

    The factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452 and factors of 572 are 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572.

    Therefore, the Lowest Common Multiple (LCM) of 1452 and 572 is 18876 and Greatest Common Divisor (GCD) of 1452 and 572 is 44.

  3. Example 3: Find if 2, 6, 11, 12, 33, 66, 726 and 991 are factors of 1452.

    Solution:

    When we divide 1452 by 991 it leaves a remainder. Therefore, the number 991 is not a factor of 1452. All numbers except 991 are factors of 1452.

  4. Example 4: Find the product of all the prime factors of 1452.

    Solution:

    Since, the prime factors of 1452 are 2, 3, 11. Therefore, the product of prime factors = 2 × 3 × 11 = 66.

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FAQs on Factors of 1452

What are the Factors of 1452?

The factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452 and its negative factors are -1, -2, -3, -4, -6, -11, -12, -22, -33, -44, -66, -121, -132, -242, -363, -484, -726, -1452.

What is the Sum of Factors of 1452?

Sum of all factors of 1452 = (22 + 1 - 1)/(2 - 1) × (31 + 1 - 1)/(3 - 1) × (112 + 1 - 1)/(11 - 1) = 3724

What Numbers are the Prime Factors of 1452?

The prime factors of 1452 are 2, 3, 11.

What is the Greatest Common Factor of 1452 and 1294?

The factors of 1452 and 1294 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452 and 1, 2, 647, 1294 respectively.

Common factors of 1452 and 1294 are [1, 2].

Hence, the Greatest Common Factor of 1452 and 1294 is 2.

How Many Factors of 1452 are also Factors of 150?

Since, the factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452 and the factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150.
Hence, [1, 2, 3, 6] are the common factors of 1452 and 150.

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