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Write down the four factors of 45, apart from 1 and 45 - Junior Cycle Mathematics - Question 2 - 2019

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Write down the four factors of 45, apart from 1 and 45. Answer: (b) n is a whole number bigger than 1. It has just two factors: 1 and n. Put a tick (✓) in the ... show full transcript

Worked Solution & Example Answer:Write down the four factors of 45, apart from 1 and 45 - Junior Cycle Mathematics - Question 2 - 2019

Step 1

Write down the four factors of 45, apart from 1 and 45.

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Answer

The four factors of 45, apart from 1 and 45, are 3, 5, and 9. Therefore, I write: 3, 5, 9.

Step 2

n is a whole number bigger than 1. It has just two factors: 1 and n. Put a tick (✓) in the correct box to show what name is given to this type of number. Tick one box only.

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Answer

The correct box to tick is 'prime'. A prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself.

Step 3

p is a whole number. Apart from 1 and p, the only other factor that p has is 7. Work out the value of p.

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Answer

Since the only factors are 1, 7, and p itself, p must be equal to 7. Thus, the value of p is 49.

Step 4

Write down the four factors of 12k + 8, apart from 1 and 12k + 8. Two of the factors should be in terms of k.

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Answer

The factors of 12k + 8 can be represented as: 2, 4, 3k + 2, and 6k + 4.

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