In how many ways 2450 can be written as a product of 2 factors?
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Step-by-step explanation:
it is not a perfect square.
it cannot be written as product of two factors
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2450 can be written as a product of 2 factors in 9 ways.
Given: the number 2450
To find: number of ways to write 2450 as a product of 2 factors
Solution:
To write 2450 as a product of two factors, we first carry out a prime factorisation of 2450
2450 = 1 x 2 x 5 x 5 x 7 x 7
Now, listing the product as two factors, we get
2450 = 1 x 2450
= 2 x 1225
= 5 x 490
= 7 x 350
= 10 x 245
= 14 x 175
= 25 x 98
= 35 x 70
= 49 x 50
⇒ There are 9 ways to write 2450 as a product of 2 factors.
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