Math Calculators, Lessons and Formulas

It is time to solve your math problem

mathportal.org

◀ back to index

Question

Find the prime factorization of number 4640.

Answer

The prime factorization of 4640 is:

$$ 4640 = 2\cdot2\cdot2\cdot2\cdot2\cdot5\cdot29 $$

Which is the same as :

$$ 4640 = 2^{5}\cdot5\cdot29 $$

Explanation

Prime factorization can be nicely visualized by creating a factorization tree.

4640 can be written as 10 × 464.
  • 4640
    • 10
    • 464
10 can be written as 2 × 5.
  • 4640
    • 10
      • 5
      • 2
    • 464
464 can be written as 2 × 232.
  • 4640
    • 10
      • 5
      • 2
    • 464
      • 2
      • 232
232 can be written as 2 × 116.
  • 4640
    • 10
      • 5
      • 2
    • 464
      • 2
      • 232
        • 116
        • 2
116 can be written as 2 × 58.
  • 4640
    • 10
      • 5
      • 2
    • 464
      • 2
      • 232
        • 116
          • 2
          • 58
        • 2
58 can be written as 2 × 29.
  • 4640
    • 10
      • 5
      • 2
    • 464
      • 2
      • 232
        • 116
          • 2
          • 58
            • 29
            • 2
        • 2
The end nodes are the prime factors of the number 4640.
  • 4640
    • 10
      • 5
      • 2
    • 464
      • 2
      • 232
        • 116
          • 2
          • 58
            • 29
            • 2
        • 2
This page was created using
Prime factorization calculator