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Grade 7 Online Lessons in Factors
Express the following numbers as products of their prime factors.
a) 560
b) 4 525
(3m 1s)
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1.
Between 9, 10 and 11, which one can you use to divide the number 4 730 without a reminder?
2.
A farmer usually divides the workers in his farms into groups of 9, 10 or 11. He always ensures that the groups have an equal number of workers. One day he had 2 394 workers in his farm. Into how many groups should he divide the workers equally?
3.
Express the following numbers as products of their prime factors. a) 560 b) 4 525
4.
An employee who works in a tea factory earns sh 7 800 per week. Express the number 7 800 as a product of its prime factors.
5.
To celebrate the World Blood Donor Day, residents of a certain county donated 9 560 pints of blood. Express the number 9 560 as a product of its prime factors.
6.
Work out the greatest common divisor of the following pair of numbers. 24 and 28
7.
What is the greatest number that can divide 54, 36 or 81 without a remainder?
8.
What is the greatest common divisor of 336 and 504?
9.
What is the highest number of children than can share 120 mangoes or 90 apples without a remainder?
10.
What is the highest number of people that can share 420 sheep or 560 goats equally?
11.
What is the least common multiple of 12 and 15?
12.
What is the least number that can be divided by 10, 20 and 25 without a remainder?
13.
Work out the least common multiple of the following pair of numbers. 18 and 27
14.
Work out the least number of mangoes that can be shared equally among 15 boys or 20 girls.
15.
During Home Science practical, learners filled a tank with water using either a 10 litres or a 15 litres container. What is the least capacity of the tank that each container would fill without any water remaining in the container?
16.
Mr Mwangemi teaches Mathematics in three classes. The classes have 36, 42 and 54 learners respectively. He wants the learners to be in groups of equal number of learners in all the three classes. What is the highest number of learners that each group can have?
17.
Four athletes take 60 seconds, 72 seconds, 90 seconds and 96 seconds to complete one lap of a track. If all the four athletes start a race at the same time, how long will it take for them to be together again at the starting line?
18.
In a certain school, learners are put into groups of 6, 7 and 8 to form discussion groups during Mathematics, English and Kiswahili contests, respectively. What is the least number of learners that should be in the school for the groups to be complete during each of the contests?
19.
Four bags contain 36 kg, 39 kg, 42 kg and 45 kg of sugar respectively. The sugar is repacked in packets. Calculate the maximum possible mass of sugar that each packet should have if no sugar is left unpacked.
20.
A trader wants to pack fruits in packets that carry two, three or four fruits each. Using divisibility test of 2, 3 and 4, determine which of the following number of fruits he can buy and pack without some fruits remaining unpacked? 56 894, 56 184, 56 352, 56 123
21.
Karimi is a dairy farmer. She sells milk in either 2 litres or 4 litres bottles. One day, her cows produced 2 458 litres of milk. Which bottle should she use to ensure that all the milk fits into the bottles?
22.
Between 5 and 6, which number should you use to divide 5 780 without a remainder?
23.
A farmer donated 1 230 sheep to several children’s homes. Between 6 and 8 sheep, how many sheep did he donate to each home without any sheep remaining?
24.
Color the box with numbers that are divisible by 5, 6 and 8.
25.
For each number, put a tick if the number is divisible by 2, 3 or 4 and put cross if it is not divisible by 2, 3 or 4.
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