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### **Multiples** Multiples of a number are the products obtained when that number is multiplied by whole numbers (positive integers). For example, the multiples of 3 are: \[ 3, 6, 9, 12, 15, 18, \dots \] In mathematical terms, if \( n \) is a number and \( k \) is a whole number, then a multiple of \( n \) is given by: \[ n \times k \] Some key points about multiples: - Every number is a multiple of itself (e.g., \( 5 \times 1 = 5 \)). - Multiples are infinite because there is no limit to how many times you can multiply a number by increasing whole numbers. --- ### **Factors** Factors of a number are the integers that divide that number completely, leaving no remainder. For example, the factors of 12 are: \[ 1, 2, 3, 4, 6, 12 \] In mathematical terms, if \( n \) is a number and \( d \) is a factor, then: \[ n \mod d = 0 \] where \( \mod \) denotes the remainder.
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Opening Prayer Father in heaven, in Jesus’ Name, we ask You to bless us with knowledge, wisdom and clarity of mind to understand our lessons well. Bless also our teachers so that together, we will be able to use Your gifts for Your greater glory. Amen
The set of numbers 0, 3,6,9,12, 15 and so on is also called the set of multiples of 3. When we multiply a whole number by 0,1,2,3 and so on, the products are called multiples of the whole number.
- 3 x 0 = 0 3 x