Prime Factorization Calculator

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Basic Information

After familarizing your students with prime numbers and composite numbers, the next interesting question you may ask them to ponder is whether 0 and 1 are prime numbers. When they are doing prime factorization, show them this calculator. (click the image below or the link underneath)


It accommodates up to the largest 9 digit number. You can see some examples by entering values into the top box of this prime factorization calculator. The calculator will show one possible factor tree, plus the canonical form of the prime factorization as its output.
This prime factorization calculator allows you to enter a composite number, and it produces a list of the prime numbers that, when multiplied, produce the original composite number. Use this factorization calculator to produce a factor tree, or just determine the list of primes that divide a given integer. The factor tree produced by the site’s prime factorization calculator shows the prime values as highlighted nodes.

Each prime factor is assigned a unique color, and the occurrences of the each prime factor correspond to the exponent on the same prime in the prime factorization in the canonical factorization shown below the factor tree.

Use the ‘Zoom’ button to highlight only the calculator on this page. To understand what prime factorization is good for, it helps to start with the very nature of numbers and how their prime factors are used to create them. 

[Check this visual treat on primes, too.]

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