Question

answer please......​

Answer 1

Answer:

QUESTION 3

Prime Factorization of 24

Prime factors of 24 are 2, 3. Prime factorization of 24 in exponential form is:

24 = 23 × 31

Prime Factorization of 12

Prime factors of 12 are 2, 3. Prime factorization of 12 in exponential form is:

12 = 22 × 31

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12

Factors of 12

List of positive integer factors of 12 that divides 24 without a remainder.

1, 2, 3, 4, 6

We found the factors and prime factorization of 24 and 12. The biggest common factor number is the HCFnumber.

So the HCF 24 and 12 is 12.

QUESTION 4

The lcm of 2 and 5 can be obtained like this:

The multiples of 2 are … , 8, 10, 12, ….

The multiples of 5 are …, 5, 10, 15, …

The common multiples of 2 and 5 are n x 10, intersecting the two sets above, n\neq 0 \thinspace\in\thinspace\mathbb{Z}n=0∈Z.

In the intersection multiples of 2 ∩ multiples of 5 the least positive element is 10.

Therefore, the least common multiple of 2 and 5 is 10.

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