real number

posted by .

How many positive factors does
62x(63^3+63^2+63+1)+1 have?

(with solution pls... thanks...)

  • real number -

    63^3 + 63^2 + 63 + 1
    = 63^2(63 + 1) + (63+1)
    = (63^2 + 1)(63+1)
    = 3970 x 64

    62x(63^3+63^2+63+1)+1
    = 62 x 3970 x 64 + 1
    = 15752961
    = 2401x6561
    = 2401 x 3^8
    = 7x343x3^8
    = 7^4 x 3^8

    So now we need to take different combinations of factors, e.g. 7x7 x 3x3x3 would be a factor

    the four factors of 7 can be taken in 5 ways,
    that is, take none, take one, take 2, take 3 or take 4 of them
    in the same way, the eight 3's can be taken in 9 ways.
    So the total number of subsets of the above is
    5x9 or 45
    BUT, that would include taking neither the 7 nor the 3
    so we subtract 1

    number of positive factors is 44

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. factoring

    can this equation be factored further? y= x^4+2x^3+4x^2+8x+16 Not in the real number system. If you plot the function, you will see the minimum is at x=-1.1 (approx) and y is positive. At no x does the function equal zero, so there
  2. MATH,HELP

    Can someone show me how to even do this problem. Find all positive values for K for which each of the following can be factored. x^2 + x - k News flash: It can be factored with any term (although the roots may not be real roots). Now …
  3. math,correction

    the problem reads: evaluate sqrt (-4) if possible. my answer: sqrt (-4)<0 therefore this is not a real number looks correct you cannot take the square root of a negative number in the real number set. Have you learned the imaginary …
  4. algebra

    Find all positive values for k for which each of the following can be factored. x^2+3x+kthe coefficent of the middle term is 3 3=2+1 k=2*1=2 did i do this right This one I had no Idea where to start can some one please explain it to …
  5. Algebra II

    State the number of positive real zeros, negative real zeros, and imaginary zeros for g(x)= 9x3 -7x2+10x-4. Since there were 3 sign changes I have 3 positive real zeros. For g(-x)= I have -9x3-7x2-10x-4. There were no sign changes …
  6. math

    Find the smallest positive whole number with exactly ten positive factors and list the factors.
  7. chemistry

    For the equation, SO2(g) + 1/2 O2(g)-> SO3(g) Kp=9.5 EQUAL partial pressures of SO2 and O2 are placed in an empty reaction vessel and heated to 600 degrees celsius. Assuming that 62% of the SO2 partial pressure has reacting to give …
  8. math 7

    How many positive factors does 62 x (63^3 + 63^2 + 63 + 1) + 1 have?
  9. MNHS_HELP

    How many positive factors does 62x(63^3+63^2+63+1)+1 have?
  10. discret

    Determine whether these are valid arguments. a. If x is a positive real number, then x2 is a positive real number. Therefore, if a2 is positive, where a is a real number, then a is a positive real number. b. Ifx2 ≠0,wherexisarealnumber,thenx≠0.Letabearealnumberwitha2 …

More Similar Questions