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Which Statements are True about Factors and Multiples of 15?

Mrs. Wu is making cookies. She can arrange 15 cookies on her baking sheet in a rectangle as shown. Select the three statements that are true.

15 is a prime number.
5 is a multiple of 15.
15 is a composite number.
3 is a factor of 5.
15 is a multiple of 3.
3 and 5 is a factor pair of 15.




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1 Answer

  1. The three true statements are:

    1. 15 is a composite number.

    Explanation: A composite number has more than two factors. The factors of 15 are 1, 3, 5, and 15.

    2. 15 is a multiple of 3.

    Explanation: A multiple of a number can be obtained by multiplying that number by an integer. Since 3 x 5 = 15, 15 is a multiple of 3.

    3. 3 and 5 is a factor pair of 15.

    Explanation: A factor pair consists of two numbers that, when multiplied, equal the original number. Since 3 x 5 = 15, they are a factor pair.

    The other statements are false:

    – 15 is not a prime number because it has more than two factors.

    – 5 is not a multiple of 15; it is actually the other way around.

    – 3 is not a factor of 5.

    I hope this helps! If you have more questions or need further clarification, feel free to ask!

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