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# Why would you divide 61 using prime numbers only?

Updated: 4/28/2022

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14y ago

To prove that 61 is a Prime number.

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14y ago

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Q: Why would you divide 61 using prime numbers only?
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### How would you do prime factorization?

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.

### When getting a prime factor do you divide or multiply?

To get a prime factor, you would divide.

### How do you break down the prime factorization of 76?

You have to find the smallest prime number that can go into 76, which is 2 and find out what 76/2 is. The, you would have to take the non-prime number and find the smallest prime number that can go into that, and divide by those to numbers again. The prime number you had with 76, you would keep that and keep dividing the non-prime numbers until you end up with all prime numbers.

### How do you figure out prime factors?

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.Example: 210210 Divide by two.105,2 Divide by three.35,3,2 Divide by five.7,5,3,2 Stop. All the factors are prime.2 x 3 x 5 x 7 = 210That's the prime factorization of 210.

Prime numbers.

### What is the GCF of 61 and 73 using factorizations?

61 and 73 are prime numbers. Prime numbers don't have prime factorizations, since their only prime factors are themselves. Since these would have to be different numbers, they don't have any prime factors in common. The GCF of any set of prime numbers is 1.

### Are most prime numbers also odd numbers?

All prime numbers are odd numbers. If one were even, it would be divisible by two and would, therefore, not be prime.

### What are the prime numbers between five and fifteen?

5,7,11,13 are prime I would suggest looking into the sieve of erasthenes for further reading. For tests, look at odd numbers and see if odd numbers divide them. ie 9 is not in the lsit because it is divisible by 3. Even numbers are always divisible by two.

### What are two prime numbers that if multiplied would generate a 400-digit number?

Any two prime numbers, of about 200 digits each, would work.Any two prime numbers, of about 200 digits each, would work.Any two prime numbers, of about 200 digits each, would work.Any two prime numbers, of about 200 digits each, would work.

### When you write a number as a product of prime numbers?

A number as a product of prime numbers would be &quot;x&quot;.

### How do you find prime number?

Prime numbers are the numbers that can only be divided by 1 and them selves. As in 13 if you were to factor it using only whole numbers you would see that its factors are only 1 and 13. There for it is prime. While 12 you see that the factors are 1,2,3,4,6,12 meaning that it is not prime.You test several numbers, to see whether they are prime numbers, until you find a prime number.