16)The only prime factors of 52 are 2,3 and 7 - TRUE
17)The GCF of 14 and 15 is 1 - TRUE
18)The prime factorization of 63 is 3×21 - TRUE
19)The only prime factors of a power of 10 are 2 and 6 - TRUE
20)If the GCF of the two number is 1,the numbers have no common factors.-TRUE
21)Every multiple of 4 is a multiple of 16 - FALSE
because the multiples of 4 and 16 are different
22)One number is 10. The unknown number is less than 10. The GCF of the numbers is 2. Their LCM is 30. What is the unknown number?
If the factors of the unknown are 3 and 2. Then the unknown number will be 6.
What is Algebra?
- The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
- Algebra is one of the oldest branches in the history of mathematics that deals with number theory, geometry, and analysis.
- The definition of algebra sometimes states that the study of the mathematical symbols and the rules involves manipulating these mathematical symbols.
- Algebra includes almost everything right from solving elementary equations to the study of abstractions.
- Algebra equations are included in many chapters of Maths, which students will learn in their academics. Also, there are several formulas and identities present in algebra.
- Unknown number means the value of variable is not determined.
One number is 10.
Then the factor of 10 will be
10 = 5 × 2
The unknown number is less than 10.
Let N be the unknown number and the factor of the unknown number is given as,
N = y × 2
The GCF (Greatest Common Factor) of the numbers is 2.
Their LCM (Least Common Factor) is 30. Then the equation will be
5 × 2 × y = 30
y = [tex]\frac{30}{10}[/tex]
y = 3
Then the unknown number N will be
N = y × 2
N = 3 × 2
N = 6
Thus, the unknown number will be 6.
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