What is the cube roots of 729?
The cube root of 729 is the number which when multiplied by itself three times gives the product as 729. Since 729 can be expressed as 3 × 3 × 3 × 3 × 3 × 3. Therefore, the cube root of 729 = ∛(3 × 3 × 3 × 3 × 3 × 3) = 9.
IS 729 a perfect cube give reason?
Now, 729 becomes a perfect cube. Thus, the smallest required number to multiply 243 to make it a perfect cube is 3. Grouping the prime factors of 256 in triples, we are left over with 2 × 2. ∴ 256 is not a perfect cube.
What is the prime factor tree of 729?
Factors of 729
| Factors | Pair Factors | Prime Factorisation |
|---|---|---|
| 1, 3, 9, 27, 81, 243 and 729 | (1, 729), (3, 243), (9, 81), (27, 27) | 729 = 3 x 3 x 3 x 3 x 3 x 3 = 36 |
What is the prime factor of 729?
What are the factors of 729?
There are seven factors of 729. They are 1, 3, 9, 27, 81, 243 and 729.
What can 729 be divided by?
The factors of 729 are 1, 3, 9, 27, 81, 243, 729.
What is the cube root of 729 by prime factorization method?
Cube root of 729 by prime factorization method is 9.
What are the multiples of 729?
Thus, the first ten multiples of 729 are 729, 1458, 2187, 2916, 3645, 4374, 5103, 5832, 6561 and 7290.
What is the prime factorization of 729?
Answer: The prime factorization of 729 is 3 × 3 × 3 × 3 × 3 × 3. The fundamental theorem of arithmetic says that any composite number can be expressed in a unique way as a product of its prime factors. Therefore, 729 = (3 × 3 × 3)2 which is (33)2 = 36 in the exponent form.
What is the cube root of 729 by Prime Factorization method?
What is the LCM of 729?
Solution: The factors of 729 are 1, 3, 9, 27, 81, 243, 729 and factors of 712 are 1, 2, 4, 8, 89, 178, 356, 712. Therefore, the Least Common Multiple of 729 and 712 is 519048 and Highest Common Factor (HCF) of 729 and 712 is 1. Example 3: Find if 27, 148, 243 and 729 are factors of 729.