QuestionDetermine if the number 57 is prime or composite.

Studdy Solution

STEP 1

Assumptions1. The number we are examining is57. A prime number is a number that has exactly two distinct positive divisors1 and itself.
3. A composite number is a positive integer that has at least one positive divisor other than one or itself.

STEP 2

To identify whether a number is prime or composite, we need to check its divisors. We start by checking if the number is divisible by2.
$57 \, mod \,2$

STEP 3

Calculate the modulus.
$57 \, mod \,2 =1$ Since the remainder is not zero,57 is not divisible by2.

STEP 4

Next, we check if the number is divisible by3.
$57 \, mod \,3$

STEP 5

Calculate the modulus.
$57 \, mod \,3 =0$ Since the remainder is zero,57 is divisible by3.

STEP 6

Since57 has more than two distinct positive divisors (1,3,19, and57), it is not a prime number. Therefore,57 is a composite number.
The number57 is a composite number.

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QuestionDetermine if the number 57 is prime or composite.

Studdy Solution

STEP 1

Assumptions1. The number we are examining is57. A prime number is a number that has exactly two distinct positive divisors1 and itself.
3. A composite number is a positive integer that has at least one positive divisor other than one or itself.

STEP 2

To identify whether a number is prime or composite, we need to check its divisors. We start by checking if the number is divisible by2.
$57 \, mod \,2$

STEP 3

Calculate the modulus.
$57 \, mod \,2 =1$ Since the remainder is not zero,57 is not divisible by2.

STEP 4

Next, we check if the number is divisible by3.
$57 \, mod \,3$

STEP 5

Calculate the modulus.
$57 \, mod \,3 =0$ Since the remainder is zero,57 is divisible by3.

STEP 6

Since57 has more than two distinct positive divisors (1,3,19, and57), it is not a prime number. Therefore,57 is a composite number.
The number57 is a composite number.

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QuestionDetermine if the number 57 is prime or composite.

Studdy Solution

STEP 1

Assumptions1. The number we are examining is57. A prime number is a number that has exactly two distinct positive divisors1 and itself.3. A composite number is a positive integer that has at least one positive divisor other than one or itself.

STEP 2

To identify whether a number is prime or composite, we need to check its divisors. We start by checking if the number is divisible by2.57 mod 257 \, mod \,257mod2

STEP 3

Calculate the modulus.57 mod 2=157 \, mod \,2 =157mod2=1Since the remainder is not zero,57 is not divisible by2.

STEP 4

Next, we check if the number is divisible by3.57 mod 357 \, mod \,357mod3

STEP 5

Calculate the modulus.57 mod 3=057 \, mod \,3 =057mod3=0Since the remainder is zero,57 is divisible by3.

STEP 6

Since57 has more than two distinct positive divisors (1,3,19, and57), it is not a prime number. Therefore,57 is a composite number.The number57 is a composite number.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions1. The number we are examining is57. A prime number is a number that has exactly two distinct positive divisors1 and itself.
3. A composite number is a positive integer that has at least one positive divisor other than one or itself.

To identify whether a number is prime or composite, we need to check its divisors. We start by checking if the number is divisible by2.
$57 \, mod \,2$

Calculate the modulus.
$57 \, mod \,2 =1$ Since the remainder is not zero,57 is not divisible by2.

Next, we check if the number is divisible by3.
$57 \, mod \,3$

Calculate the modulus.
$57 \, mod \,3 =0$ Since the remainder is zero,57 is divisible by3.

Since57 has more than two distinct positive divisors (1,3,19, and57), it is not a prime number. Therefore,57 is a composite number.
The number57 is a composite number.