Question

UI 403.
Express the numbers 3825 and 27300 as a product of their prime factors.
Find the least number which when divided by 25.40 and 60 leaves​

Answer 1

Step-by-step explanation:

17 is one of the factors! The orange divisor(s) above are the prime factors of the number 3,825. If we put all of it together we have the factors 3 x 3 x 5 x 5 x 17 = 3,825.

Answer 2

Given :  numbers 3825 and 27300

To Find : Express as a product of their prime factors.

the least number which when divided by 25.40 and 60 leaves​ no remainder.

Solution:

3825

= 3 * 1275

= 3 * 3 * 425

= 3 * 3 * 5 * 85

= 3 * 3 * 5 * 5 * 17

27300 = 2 * 2 * 3 * 5 * 5 * 7 * 13

25 = 5 * 5

40 = 2 * 2 * 2 * 5

60 = 2 * 2 * 3 * 5

LCM = 2 * 2 * 2 * 3 * 5 * 5

=  600

600 when Divided by 25 , 40 & 60 leaves no remainder

if divided by 25 , 40 & 60 leaves no remainder a

then number would be 600+a

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