When expressing a number as a product of its prime factors as for example 2*2*2*2*2*2 = 64
The product of all of the factors of 12 is 1,728 .
22 x 52 x 19 = 1900
The product of all factors of the two numbers is 2097152.
No. Any number of positive factors will lead to a positive product.
Power
The Product will be Repeat..like they say it is a Repeated Addition
a-n = 1/an = (1/a) x .... x (1/a), this last product having n factors, each is 1/a
18 has square factors, but no repeated ones.
The repeated factor of 102 is 10.
When expressing a number as a product of its prime factors as for example 2*2*2*2*2*2 = 64
how can exponent can make it easier to write an expression with a repeated factor in the product
Numbers can be expresed in terms of their prime factors as for example:- As a product of its prime factors: 3*31*73 = 6789
Exponents are a short way to count the repeated factors. 2 x 2 x 2 x 3 x 3 = 72 23 x 32 = 72
Exponents count the number of repeated factors. 2 x 2 x 2 x 3 x 3 = 72 2^3 x 3^2 = 72
As a product of its prime factors in exponents it is: 22*52 = 100
2 to the power of 5 =32. the repeated factior is the base, or the number 2.