Prime Factorisation

IMPORTANT

Prime Factorisation: Overview

This topic covers concepts, such as, Prime Factorisation of a Number, Factor Tree, Prime Factorisation to Determine Co-prime Numbers and Prime Factorisation to Check Divisibility etc.

Important Questions on Prime Factorisation

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IMPORTANT

What is the prime factors of 10

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Factorise 2272 using prime factors.

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A labour has to put 90 bricks in equal piles. In how many ways can he make piles of equal number of bricks?

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How many 2's are there in the prime factorization of 4000?

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Draw a factor tree to show that the prime factors of 20 are 22×5.

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Choose the correct factor tree for the prime factorization of the number 24

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The prime factorization of the number 36 using factor tree method is:

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The prime factorization of the number 1323 using division method is:

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How do you express 375 as a product of its prime factors in index form?

HARD
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The length, breadth and height of a room are 700 cm, 570 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.  [Write the answer in cm.]

HARD
IMPORTANT

The length, breadth and height of a room are 800 cm, 670 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.   [Write the answer in cm.]

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Three tankers contain 403 litres, 434  litres, 465  litres of diesel respectively. Find the maximum capacity of a container that can measure the diesel of the three containers exact number of times. [Write the answer in litres.]

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IMPORTANT

The length, breadth and height of a room are 825 cm, 675 cm and 450 cm respectively. Find the longest tape which can measure the three dimensions of the room exactly.   [Write the answer in cm.]

HARD
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Renu purchases two bags of fertiliser of weights 75 kg and 69 kg. Find the maximum value of weight which can measure the weight of the fertiliser exact number of times.  [Write the answer in kg]

MEDIUM
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Draw a factor tree for the number 24 to show the prime factors.

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Draw a factor tree for the number 30 to show the prime factors.

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Draw a factor tree for the number 27 to show the prime factors.

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Fill in the gaps.

Question Image 

36=_____×_____×_____×_____

36=_____×_____

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Fill in the gaps.

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28=_____ × _____ × _____

28=_____×_____

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Fill in the gaps.

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18=_____ × _____ × _____

18=_____× _____