Some important points to remember in Factors and Multiples 6th grade Maths Plus

Some important points to remember in Factors and Multiples

1. A factor of a number divides the number exactly.

2. A multiple of a number is a number divisible by the given number.

3. 1 is a factor of every number.

4. Every number is a multiple of itself.

5. Every number is a factor of itself.

6. A number may have infinitely many multiples.

7. A number may have only a finite number of factors.

8. The minimum number of factors of a number is 2.

9. Every prime number has only two factors, viz. 1 and the number itself.

10. A factor of a number is always less than or equal to the number.

11. A multiple of a number is always greater than or equal to the number.

12. All even numbers are divisible by 2.

13. All odd numbers are not divisible by 2.

14. A composite number has at least three factors.

15. 1 is neither a prime nor a composite number.

16. The only prime number which is even is 2.

17. The least composite number is 4.

18. The least prime number is 2.

19. A composite number may be even or odd.

20. All prime numbers except 2 are odd.

21. The product of two odd numbers is always odd.

22. The product of two even numbers is always even.

23. The product of an even number and an odd number is always even.

24. The sum of difference of two even numbers is always even.

25. The sum of difference of two odd numbers is always even.

26. The sum or difference of tan even number and an odd number is always odd.

27. 0 is an even number.

28. If a number a is divisible by b, then a will be divisible by each factor of b.

29. If a number a is divisible by two co-prime numbers b and c, then a is divisible by their product b ✖ c.

30.  If a number a divides  by two other numbers b and c exactly, then a is divides their sum b + c and their difference b - c (b > c) esactly.

31. The H.C.F. of two or more given numbers is the greatest number which divides the given numbers exactly.

32. The L.C.M. of two or more numbers is the least number which is divisible by all the numbers.

33. The H.C.F.  of two or more given numbers is always less than or equal to the given numbers.

34. The L.C.M. of two or more given numbers is always greater than or equal to the given numbers.

35. The H.C.F. of two or more numbers always divides their L.C.M. exactly.

36. If a number a is a factor of another number b, then a is the L.C.M. of a and b.

37. The L.C.M. of two or more prime numbers is always equal to their product.

38. The L.C.M. of two co - prime numbers is always equal to their product.

39. The H.C.F.  of two or more prime numbers is always equal to 1.

40. The H.C.F. of two co - prime numbers is always equal to 1.