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 1960.

Answer

The prime factorization of 1960 is:

$$ 1960 = 2\cdot2\cdot2\cdot5\cdot7\cdot7 $$

Which is the same as :

$$ 1960 = 2^{3}\cdot5\cdot7^{2} $$

Explanation

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

1960 can be written as 10 × 196.
  • 1960
    • 10
    • 196
10 can be written as 2 × 5.
  • 1960
    • 10
      • 5
      • 2
    • 196
196 can be written as 2 × 98.
  • 1960
    • 10
      • 5
      • 2
    • 196
      • 2
      • 98
98 can be written as 2 × 49.
  • 1960
    • 10
      • 5
      • 2
    • 196
      • 2
      • 98
        • 49
        • 2
49 can be written as 7 × 7.
  • 1960
    • 10
      • 5
      • 2
    • 196
      • 2
      • 98
        • 49
          • 7
          • 7
        • 2
The end nodes are the prime factors of the number 1960.
  • 1960
    • 10
      • 5
      • 2
    • 196
      • 2
      • 98
        • 49
          • 7
          • 7
        • 2
This page was created using
Prime factorization calculator