Factors
Base Numbers
Miscellaneous
100

How many factors of 10! are multiples of 18?

144

100

What is the base 10 representation of 2341 (base 7)?

862

100

How many positive integers from 1-210 are relatively prime to 210?

48

200

Find the number of factors of the sum of factors of the number: 2^5 * 3^4 * 5^3

144

200

In a pixel-based image, each color is stored in RGB format where:

  • Red, Green, and Blue values are each 8-bit numbers (from 0 to 255).
  • These are often written in hexadecimal (base 16).

A pixel has the following RGB values in decimal:

  • Red: 102
  • Green: 204
  • Blue: 51

Question: Convert each of the RGB values from decimal (base 10) to hexadecimal (base 16). What is the hex color code for this pixel? (Hint: Concatenate the hex values of R, G, and B).

66CC33

200

What is 121212121 (base 3) in base 9?

17777

300

Find the product of factors of 2304.

2^108 * 3^27

300

How many terminal 0's would the base-80 representation of 50! have?

11

300

Find the product of even factors of 1152.

2^84 * 3^21

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