Question

Find the smallest number which2560must be multiplied so the products a perfect cube​

Answer 1

Answer:

5 is the smallest number

Answer 2

Step-by-step explanation:

Saicha900

04.07.2017

Math

Secondary School

+10 pts

Answered

What is the smallest number by which 2560 must be multiplied to get a perfect cube

2

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deepa24

deepa24

Given no = 2560 . expressing into prime factors ,we have 2560 = 2×2×2×2×2×2×2×2×2×5 . since 5 left unpaired . to make perfect cube , we should multiplied 5×5=25 .2560×25 = 64000. which is a perfect cube. hence the smallest no by which 2560 must be multiplied so that product is perfect cube = 5×5=25.

kingoftheking47

kingoftheking47

Answer:

we try to find by prime factorisation

step by step explaination

\sqrt[3]{2560 }

2560=

2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5

clearly for making cube must be multiply by

5 \times 5

= 25

both side

2560 \times 25 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 5 \times 5 \times 5

hence,

64060=2560 .

ans. = smallest number is 25

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