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Determine the prime factorization of 3564.

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Find the least common multiple of the following three numbers: 84, 120, and 150.

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Determine the least common multiple of the following two numbers: 45, 75, and 100.

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Find the greatest common factor (GCF) of the following two numbers: 432 and 576.

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Determine the greatest common factor (GCF) of these three numbers: 48, 180, and 300.

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How many different positive integers are factors of both 36 and 60?

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What is the largest prime factor of 156?

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What is the greatest common factor (GCF) of the expression: $$84x^2y^3+42x^3y^2$$

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Which of the following expressions below is a factor of:
$$3x^3+12x^2-27x$$

I. $$x^2+3x+9$$
II. $$x$$
III. $$x+3$$

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If $$q$$ is a prime number, how many factors does $$a^4$$ have?

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Highest common factor of two numbers is $$12$$ and their lowest common multiple is $$252$$. If one of them is $$84$$, then find the sum of both numbers.

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The least number which when increased by $$7$$ is exactly divisible by $$8$$, $$14$$, $$24$$, and $$36$$ is:

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Highest common factor (HCF) of the largest 4-digit number and the largest 5-digit number is:

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