8.25
625 = (6 x 100) + (2 x 10) + (5 x 1)
1 x 625, 5 x 125, 25 x 25, 125 x 5, 625 x 1 = 625
The prime factor of 625 is 5.
625 = 5^4 Why? Let do it step by step:625 = 5 x 125625 = 5 x 5 x 25625 = 5 x 5 x 5 x 55 x 5 x 5 x 5 = 625
Identify the prime factors of 625 which are : 5 x 5 x 5 x 5 = 625. The factors of 625 are therefore 1 x 625, 5 x 125 and 25 x 25. As the number 25 is effectively duplicated then 625 has 5 factors (1, 5, 25, 125 & 625)
5 x 5 x 5 x 5 = 625 2 x 2 x 2 x 5 x 5 x 5 = 1000
625 = (6 x 100) + (2 x 10) + (5 x 1)
sqrt(625) = 25 25^(2) (Second power) = 625 Hence square root of 625 to the second power , you back to the original number. Mathematically it would be written as (625^(1/2))^(2) = 625^(2 x 1/2) = 625 ^(2/2) = 625^(1) = 625 !!!!! Remember the rules for manipulation of indices. a^(n) X a ^(m) = a^(n+m) a^(n) / a^(m) = a^(n-m) (a^(n))^(m) = a^(nm) In all cases the coefficient 'a' MUST be the same. You cannot do 2^(2) X 3^(2) = 6^(4) , because the coefficients are different.
625 = (6 x 100) + (2 x 10) + (5 x 1)
(6 x 100) + (2 x 10) + (5 x 1) = 625
625 Cubed is 625 times itself 3 times.625 x 625 = 390,625390,625 x 625 = 244,140,625244,140,625
1 x 625, 5 x 125, 25 x 25, 125 x 5, 625 x 1 = 625
625 x 625 = 390625
The prime factor of 625 is 5.
625 = 5^4 Why? Let do it step by step:625 = 5 x 125625 = 5 x 5 x 25625 = 5 x 5 x 5 x 55 x 5 x 5 x 5 = 625
625 can be written as 6.25 × 102 in scientific notation or expanded form as (6 x 102) + (2 x 101) + (5 x 100)
1 x 1250, 2 x 625, 5 x 250, 10 x 125, 25 x 50, 50 x 25, 125 x 10, 250 x 5, 625 x 2, 1250 x 1