Question

playing with numbers concepts​

Answer 1

Answer:

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Step-by-step explanation:

Mathematics / Playing with Numbers

Introduction to Playing with Numbers.

1. To understand the BODMAS rule.
2. To learn the divisibility rules.
3. To find out whether a given number is a factor of another number or a multiple of another number.
4. To understand the factors are countable and multiples are infinite.
5. To use an index or exponent for a number.
6. Divisibility rules from 2 to 11
7. Concept of co-prime numbers and prime factorization
8. HCF and LCM
9. Review of Playing with Numbers
10. Factors and Multiples

Answer 2

Answer:

Factor

definition:

A factor of a number device the number completely without leaving any remainder.

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properties:

•1 is a factor of every number.

• every number is a factor of itself.

• a factor of a number is either less than or equal to the given number.

• factors of a number are finite.

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types of numbers

•even number:

a number which is divisible by 2.

•odd number:

a number which is not divisible by 2.

•prime number:

a number with exactly two factors 1 and itself.

•composite number:

a number with more than two factors.

•co-primary numbers:

two numbers with 1 as the only common factor.

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Multiple

definition:

a multiple of a number is obtained by multiplying the given number by a natural number.

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properties :

• a multiple of a number is greater than or equal to the number.

• every number is a multiple of 1 and itself.

• multiples of a number are infinite.

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HCF=

the HCF of two or more given numbers is the largest factor which divides each of the given numbers completely for example HCF of 5 and 10 is 5.

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LCM=

the LCM of two or the smallest common multiple of the given number for example LCM of 2 and 3 is 6.

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divisibility tests

• a number is divisible by 2 if its ones place digit is an even number.

• a number is divisible by 3 if sum of its digits is a multiple of 3.

• a number is divisible by 4 if the number formed by its last two digits is divisible by 4.

• a number is divisible by 5 if its ones place digit is Either 0 or 5.

• a number is divisible by 6 if it is divisible by both 2 and 3.

• a number is divisible by if the number formed by its last three digits is divisible by 8.

• a number is divisible by 9 if sum of its digits is a multiple of 9.

• a number is divisible by 10 if its ones place digit is zero.

• a number is divisible by 11 is the difference between the sum of the digits and it's odd places starting from right and the sum of the digits at its even places is Either zero a multiple of 11.

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