Answer
Verified
405.3k+ views
Hint: Here we will explain that the given number is composite. Firstly we will solve the given value and get a single number. Then we will write down the factor of the value we got and check how many factors are there. Finally we will prove our statement.
Complete step-by-step answer:
We have to explain that $3 \times 5 \times 7 + 7$ is a composite number.
So, firstly we will solve the given value by using the operation used in it.
$
3 \times 5 \times 7 + 7 \\
\Rightarrow 105 + 7 \\
\Rightarrow 112 \\ $
Now, we will write the factors of the value obtain as,
$112 = 2 \times 2 \times 2 \times 2 \times 7 \times 1$
So we have more than one factor of 112 so it is a composite number.
We can also see that 112 is an even number so it is definitely a composite number.
Note:
Arithmetic operations are used to calculate the values in an algebraic equation. Composite number is an integer that can be formed by multiplying two small positive integers. Composite numbers have other factors other than 1 and themselves. We can write every composite number as a product of two or more prime numbers; this is also known as the theorem of arithmetic. The type of composite numbers depends on the number of prime factors of it. A composite number having two prime factors is known as semi-prime or 2-almost prime numbers. A composite number with three distinct prime factors is known as sphenic number. All composite numbers have at least three factors it can have more also. Another name for composite numbers is rectangular numbers.
Complete step-by-step answer:
We have to explain that $3 \times 5 \times 7 + 7$ is a composite number.
So, firstly we will solve the given value by using the operation used in it.
$
3 \times 5 \times 7 + 7 \\
\Rightarrow 105 + 7 \\
\Rightarrow 112 \\ $
Now, we will write the factors of the value obtain as,
$112 = 2 \times 2 \times 2 \times 2 \times 7 \times 1$
So we have more than one factor of 112 so it is a composite number.
We can also see that 112 is an even number so it is definitely a composite number.
Note:
Arithmetic operations are used to calculate the values in an algebraic equation. Composite number is an integer that can be formed by multiplying two small positive integers. Composite numbers have other factors other than 1 and themselves. We can write every composite number as a product of two or more prime numbers; this is also known as the theorem of arithmetic. The type of composite numbers depends on the number of prime factors of it. A composite number having two prime factors is known as semi-prime or 2-almost prime numbers. A composite number with three distinct prime factors is known as sphenic number. All composite numbers have at least three factors it can have more also. Another name for composite numbers is rectangular numbers.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Which are the Top 10 Largest Countries of the World?
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Difference Between Plant Cell and Animal Cell
Give 10 examples for herbs , shrubs , climbers , creepers
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Write a letter to the principal requesting him to grant class 10 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE