The Fundamental Theorem of Arithmetic | Real Numbers | Assessment | English | Grade 10

From the following identify the prime numbers---- 23,62,73,96,98,397,512,983

• 62, 73, 23, 397

• 73, 98, 397, 512

• 62, 512, 96, 98

• 23, 73, 397, 983

Tags

CCSS.4.OA.B.4

4095 can be expressed as a product of its prime factors as _____

• 3² x 5 x 7 x 13

• 3 x 5² x 7 x 13

• 3² x 5² x 7 x13

• 3 x 5 x 7 x13

Answer explanation

4095 = 3 x3 x 5 x 7 x 13 = 3² x 5 x 7 x 13

The HCF and LCM of 625 and 325 are _______

• 125, 15625

• 25, 15625

• 25, 8125

• 125, 8125

Answer explanation

To calculate HCF and LCM, we will use method of Prime Factorisation, Factorising 625 and 325, we get, 625 = 5 x5 x5 x5 = 5⁴ 325 = 5 x5 x13 = 5² x13 HCF = 5² = 25 LCM =5⁴ x13 = 8125

If the HCF of 24,36 is 12 ,then the LCM of 24,36 is ______

• 36

• 72

• 864

• 24

Answer explanation

Product of Numbers=HCF X LCM 24 X 36= 864 HCF= 864/12=72

The length, breadth and height of a room are 680 cm, 510 cm,340cm respectively. Find the largest tape that can measure the dimensions of the room exactly.

• 680 cm

• 10 cm

• 170 cm

• 340 cm

Answer explanation

The length of the longest tape will be the HCF of the three sides of the room. 680 = 2³ x 5 x17 510 =2 x 3 x 5 x 17 340 = 2² x 5 x 17 HCF = 2 x 5 x 17 = 170