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Prime Factorization - Factor Trees vs. Ladder (Birthday Cake) Methods

By Sara Friedland
Last updated 3 months ago
17 Questions
Note from the author:
Let's practice breaking down some composite numbers into their prime factors using our two new methods.
Let's practice breaking down some composite numbers into their prime factors using our two new methods.

Draw a FACTOR TREE to show the prime factorization of 15.

Draw the LADDER to show the prime factorization of 15.

Write ONE equation you discovered for 15 in numerical order. (Order your prime factors least to greatest).
For example:
or

Draw a FACTOR TREE to show the prime factorization of 78.

Draw the LADDER to show the prime factorization of 78.

Write ONE equation you discovered for 78 in numerical order. (Order your prime factors least to greatest).

Draw a FACTOR TREE to show the prime factorization of 24.

Draw the LADDER to show the prime factorization of 24.

Write ONE equation you discovered for 24 in numerical order. (Order your prime factors least to greatest).

Draw a FACTOR TREE to show the prime factorization of 81.

Draw the LADDER to show the prime factorization of 81.

Write ONE equation you discovered for 81 in numerical order. (Order your prime factors least to greatest).

Draw a FACTOR TREE to show the prime factorization of 360.

Draw the LADDER to show the prime factorization of 360.

Write ONE equation you discovered for 360 in numerical order. (Order your prime factors least to greatest).

Match each expanded numeric equation with the equivalent version using exponents.

2x2x3x3
2x5x5x5
2x2x2x23
2x2x2x2x3x3