0

# What is 735 expressed as a product of its prime factors?

Updated: 12/11/2022

Wiki User

13y ago

735 = 3 Ã— 5 Ã— 7 Ã— 7

Wiki User

13y ago

Earn +20 pts
Q: What is 735 expressed as a product of its prime factors?
Submit
Still have questions?
Continue Learning about Math & Arithmetic

### How do you write 735 as a product of prime factors?

As a product of its prime factors: 3*5*7*7 = 735

### Is 735 a prime number or a composite number?

Answer:735 is not a prime number. It is a composite number.Definition:A prime number has exactly two factors: 1 (also known as unity) and itself. A composite number has more than two factors; in other words, it has at least one factor besides 1 and itself.Explanation:Any number ending in 0 or 5 is evenly divisible by 5, so it also has 5 as a factor. Thus, 735 is divisible by 5, so it is a composite number.

### What are the factors and prime factors of 735 and 945?

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945 3, 5 and 7 are prime.

### What 4 prime numbers make 735?

3 * 5 * 7 * 7 = 735

### What is the product of 21 times 35?

735

Related questions

### What is 735 expressed as a product of its prime factors in index form?

It is: 3*5*7^2 = 735

### How do you write 735 as a product of prime factors?

As a product of its prime factors: 3*5*7*7 = 735

### What are the prime factors of 735?

The prime factors of 735 are 3, 5 and 7As a product of its prime factors: 3*5*7*7 = 735

### What four numbers do you times together to get 735?

As a product of its prime factors: 3*5*7*7 = 735

### What are the prime numbers for 735?

prime factors for 735 = 3, 5, 7

### What is the greatest number which divides 742 and 1162 leaves the remainder of exactly 7 in each case?

Let the greatest number be 'x'. Then nx + 7 = 742 : nx = 735 And mx + 7 = 1162 :mx = 1155 The number required is the Greatest Common Factor of 735 and 1155. 735 expressed as the product of its prime factors = 3 x 5 x 7 x 7 1155 expressed as the product of its prime factors = 3 x 5 x 7 x 11 The GCF is 3 x 5 x 7 = 105

### Write 735 as a product of prime factors?

735 = 3 x 245 = 3 x 5 x 49 = 3 x 5 x 7 x 7

### What are the factors and prime factors of 735?

735 is a composite number because it has factors other than 1 and itself. It is not a prime number.The 12 factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, and 735.The proper factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, and 245 or,if the definition you are using excludes 1, they are 3, 5, 7, 15, 21, 35, 49, 105, 147, and 245.The prime factors of 735 are 3, 5, 7, and 7. 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 3 distinct prime factors (listing each prime factor only once) of 735 are 3, 5, and 7.The prime factorization of 735 is 3 x 5 x 7 x 7 or, in index form (in other words, using exponents), 3 x 5 x 72.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.

### What is the greatest common factor of 420 735 and 945?

The GCF of 420, 735, and 945 is 105.The prime factorization of 420 is 2x2x3x5x7The prime factorization of 735 is 3x5x7x7The prime factorization of 945 is 3x3x3x5x7(1) List the prime factors of each number.(2) Multiply those factors all numbers in the set have in common. If there are no common prime factors, the GCF is 1. (Those factors are the ones in bold type.)As you can see the GCF is 3x5x7 or 105

### What is the greatest common factor of 735 and and 630?

The GCF of 735 and 630 is 105. To find the GCF of two numbers, you first have to split them into their prime factors. In this case, 735 and 630 can be broken down as follows: 735 = 3x5x7x7 630 = 2x3x3x5x7 The next step is to identify any common prime factors. In this case, both numbers have prime factors of one 3, one 5 and one 7. To find the HCF, we multiply these factors together: 3x5x7 = 105 Thus the GCF of 735 and 630 is 105.

### Is the number 735 a prime number?

A prime number has only 2 factors which are 1 and itself. Composite numbers are everything else except 1 and 0. 1 and 0 are neither prime, nor composite. 735 is compostie.

### What are 5 numbers that have 3 5 and 7 as their prime factors?

105, 210, 315, 420, and 525 have 3, 5 and 7 as prime factors. 105, 315, 525, 735 and 1575 have 3, 5 and 7 as their only prime factors.