In 5th Grade Factors and Multiples Worksheets we will find the multiples of a given number, find the prime factors of a number, HCF of co-prime number, LCM of two co-prime numbers, HCF of two co-prime numbers, common multiples of three numbers, word problems on LCM and word problems on HCF.
I. Write the first three multiples of the given numbers.
(i) 4
(ii) 7
(iii) 13
II. Find the prime factor of 84.
III. Find the number:
(i) A multiple of 7 which lies between 30 and 40.
(ii) A multiple of 5 and 2 which is 2 more than the third multiple of 6.
(iii) A multiple of 3 and 5 greater than 42 but less than 47.
(iv) 2 digit prime number less than 47. The product of my digits is 21.
(v) Multiple of 3 but not of 6 and 9 greater than 22 but less than 37.
(vi) Two digit odd composite number. Sum of my digits is 12 and I am greater than 89.
IV. Fill in the blanks:
(i) 3 × 5 = 15. Here 3 and 5 are …………… of 15.
(ii) 6 × 7 = 42. Here 42 is the …………… of 6 and 7.
(iii) The numbers with only 2 factors are called …………… numbers.
(iv) The HCF of co-prime number is ……………
(v) A number can have …………… multiples.
(vi) LCM of two co-prime numbers is their ……………
(vii) HCF of two or more numbers always …………… their LCM.
V. Find the HCF of the given numbers.
(i) 15 and 20
(ii) 24, 36 and 42
(iii) 36 and 170
(iv) 90, 108 and 126
VI. Write the prime numbers between 11- 30.
VII. Find the common multiples of 2, 8 and 12.
VIII. Check the divisibility of given numbers.
(i) 86, 190 by 3
(ii) 47, 815 by 3
(iii) 2, 37, 405 by 11
(iv) 81, 620 by 4
IX. Find the LCM of the given numbers.
(i) 42 and 84
(ii) 55 and 105
(iii) 32 and 124
(iv) 35, 25 and 15
(v) 80, 140 and 200
X. Multiple Choice Questions (MCQ) on Factors and Multiples:
Tick (✔) the correct option.
(i) The HCF of 276, 336 and 420 is
(a) 12
(b) 24
(c) 6
(d) 36
(ii) The LCM of 18, 24, 36 and 42 is
(a) 182
(b) 504
(c) 432
(d) 856
(iii) The LCM of 72, 96 and 104 is
(a) 7003
(b) 3077
(c) 3744
(d) 3477
XI. State True or False.
(i) The largest 7-digit number divisible by 9 is 9999999.
(ii) Difference of two even numbers is odd.
(iii) Numbers divisible by 2 are called even numbers.
(iv) The H.C.F. of two consecutive odd numbers is 1.
XII. Fill in The Blanks:
(i) The H.C.F. of 20 and 27 is _____ .
(ii) The H.C.F. of two numbers always _____ their LCM.
(iii) The greatest 2-digit prime number is _____.
(iv) Every multiple of 2 is an _____ number.
(v) The prime factors of 135 are _____.
XIII. Find the HCF of the following:
(a) 144, 180 and 192
(b) 136, 170 and 255
(c) 161 and 345
(d) 513, 621 and 783
(e) 289, 391 and 884
XIV. Word Problems on Factors and Multiples:
(i) Find the largest number which exactly divides 280 and 1245 leaving remainders 4 and 3 respectively.
(ii) A room is 7 m 35 cm broad and 11 m 55 cm long. The floor of the room is to be covered with square tiles. Find the length of the largest tile that can be used.
(iii) Determine the longest tape which can be used to measure exactly the lengths 2 m 76 cm, 12 m 42 cm and I m 38 cm.
(iv) In a seminar, the number of participants in Hindi, English and Mathematics are 106, 159 and 265 respectively. Find the minimum number of rooms required, if in each room the same number of participants is to be seated and all of them are for the same subject.
(v) Find the smallest number which when divided by 21, 28, 36 and 45 leaves a remainder 9 in each case.
(vi) Find the smallest number which when added to 9 is exactly divisible by 12, 15, 20 and 27.
(vii) What is the least number that must be subtracted from 3000 so that the difference is exactly divisible by 32, 36 and 48?
(viii) Find the least 4-digit number which when divided by 24, 16 and 12 leaves a remainder 5
(ix) The LCM of 285 and 63 is 252. Find their HCF.
(x) The LCM of two numbers is 1344 and their HCF is 4. If one of the numbers is 84, find the other number.
(xi) Nairitee visits the library every fourth day and Nitheeya every sixth day. Find out days on which both meet in the library in the month of December.
Answers on 5th Grade Factors and Multiples Worksheets are given below to check the exact answers of the questions.
Answers:
I. (i) 4, 8 , 12
(ii) 7, 14, 21
(iii) 13, 26, 39
II. 2 × 2 × 3 × 7
III. (i) 35
(ii) 20
(iii) 45
(iv) 37
(v) 33
(vi) 93
IV. (i) factors
(ii) multiple
(iii) prime
(iv) 1
(v) many
(vi) product
(vii) divides
V. (i) 5
(ii) 6
(iii) 2
(iv) 18
VI. 13, 17, 19, 23, 29
VII. 24
VIII. (i) divisible
(ii) divisible
(iii) not divisible
(iv) divisible
IX. (i) 84
(ii) 1155
(iii) 992
(iv) 525
(v) 2800
X. (i) The HCF of 276, 336 and 420 is (a) 12
(ii) The LCM of 18, 24, 36 and 42 is (b) 504
(iii) The LCM of 72, 96 and 104 is (c) 3744
XI. (i) True
(ii) False
(iii) True
(iv) True
XII. (i) The H.C.F. of 20 and 27 is 1.
(ii) The H.C.F. of two numbers always a factor their LCM.
(iii) The greatest 2-digit prime number is 97.
(iv) Every multiple of 2 is an even number.
(v) The prime factors of 135 are 3 and 5.
XIII. (a) HCF of 144, 180 and 192 is 12
(b) HCF of 136, 170 and 255 is 17
(c) HCF of 161 and 345 is 23
(d) HCF of 513, 621 and 783 is 27
(e) HCF of 289, 391 and 884 is 17
XIV. Word Problems on Factors and Multiples:
(i) 138
(ii) 105 cm
(iii) 138 cm
(iv) 10
(v) 1269
(vi) 531
(vii) 120
(viii) 1013
(ix) 7
(x) 64
(xi) 12^{th} day and 24^{th} day
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