Prime factorization of 972

Here you will see step by step solution of prime factorization of 972, how to find factors of 972, you will see all factors of 972, how many factors of 972 has? Factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972, we can see that 972 has 18 factor and sum of all factors is 2548.

  • All Factors of 972: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
  • Prime Factors of 972: 2 × 2 × 3 × 3 × 3 × 3 × 3
  • Prime Factorization of 972: 22 × 35
  • Sum of Factors of 972: 2548
  • Is 972 prime number: No

How to find factors of 972 by Division Method?

To find the factors of 972 by division method, we need the find the all numbers between 1 to 972, which divide 972 with 0 remainder, then the number is factor of 972.

Pair factors of 972

  • 972/1 = 972 [ 1 × 972 (1, 972) 1 and 972 is pair factor of 972]
  • 972/2 = 486 [ 2 × 486 (2, 486) 2 and 486 is pair factor of 972]
  • 972/3 = 324 [ 3 × 324 (3, 324) 3 and 324 is pair factor of 972]
  • 972/4 = 243 [ 4 × 243 (4, 243) 4 and 243 is pair factor of 972]
  • 972/6 = 162 [ 6 × 162 (6, 162) 6 and 162 is pair factor of 972]
  • 972/9 = 108 [ 9 × 108 (9, 108) 9 and 108 is pair factor of 972]
  • 972/12 = 81 [ 12 × 81 (12, 81) 12 and 81 is pair factor of 972]
  • 972/18 = 54 [ 18 × 54 (18, 54) 18 and 54 is pair factor of 972]
  • 972/27 = 36 [ 27 × 36 (27, 36) 27 and 36 is pair factor of 972]
  • 972/36 = 27 [ 36 × 27 (36, 27) 36 and 27 is pair factor of 972]
  • 972/54 = 18 [ 54 × 18 (54, 18) 54 and 18 is pair factor of 972]
  • 972/81 = 12 [ 81 × 12 (81, 12) 81 and 12 is pair factor of 972]
  • 972/108 = 9 [ 108 × 9 (108, 9) 108 and 9 is pair factor of 972]
  • 972/162 = 6 [ 162 × 6 (162, 6) 162 and 6 is pair factor of 972]
  • 972/243 = 4 [ 243 × 4 (243, 4) 243 and 4 is pair factor of 972]
  • 972/324 = 3 [ 324 × 3 (324, 3) 324 and 3 is pair factor of 972]
  • 972/486 = 2 [ 486 × 2 (486, 2) 486 and 2 is pair factor of 972]
  • 972/972 = 1 [ 972 × 1 (972, 1) 972 and 1 is pair factor of 972]

As we checked numbers between 1 to 972 that are not leaving any remainder, hence we can say factors of 972 is 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972.

Also note that, in exponential form prime factorization of 972 is written as 22 × 35 and it is a composite number.

Prime Factorization Calculator

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