Q: What is the prime factorization of 486 using exponents?

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The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, and 486. The distinct prime factors of 486 are 2 and 3. The prime factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3 or, in index form, 2 x 3^5

3 x 3 x 3 x 3 x 5 = 405 2 x 3 x 3 x 3 x 3 x 3 = 486 3 x 3 x 3 x 3 = 81, the GCF

486 divided by 7 with a remainder = 69.42857142857143

-486 as a fraction is -486/1.

972 = 2 x 486 = 22 x 243 = 22 x 3 x 81 = 22 x 3 x 92 = 22 x 3 x (32)2 = 22 x 3 x 34 = 22 x 35

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486 = 22 x 51 x 71

The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, and 486. The distinct prime factors of 486 are 2 and 3. The prime factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3 or, in index form, 2 x 3^5

The Least Common Multiple (LCM) for 486 162 300 is 24,300.

486 is a composite number.

486 = 2 x 35

972 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 18 factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, and 972.The proper factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, and 486 or,if the definition you are using excludes 1, they are 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, and 486.The prime factors of 972 are 2, 2, 3, 3, 3, 3, and 3. Note: There is repetition of these factors, so if the prime factors are being listed instead of the prime factorization, usually only the distinct prime factors are listed.The 2 distinct prime factors (listing each prime factor only once) of 972 are 2 and 3.The prime factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3 or, in index form (in other words, using exponents), 22 x 35.NOTE: There cannot be common factors, a greatest common factor, or a least common multiple because "common" refers to factors or multiples that two or more numbers have in common.

composite

3 x 3 x 3 x 3 x 5 = 405 2 x 3 x 3 x 3 x 3 x 3 = 486 3 x 3 x 3 x 3 = 81, the GCF

486 = 2 x 3 x 3 x 3 x 3 x 3

486 divided by 7 with a remainder = 69.42857142857143

-486 as a fraction is -486/1.

972 = 2 x 486 = 22 x 243 = 22 x 3 x 81 = 22 x 3 x 92 = 22 x 3 x (32)2 = 22 x 3 x 34 = 22 x 35