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What is Factoring Trees in Mathematics?

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  • What is Factoring Trees in Mathematics?

    A factoring tree may help you envision breaking a huge number into its prime components. Place the number you want to factor at the top of the expression and divide it by its factors into stages. Place the two components of a number below each time you divide it. Divide until all of the numbers have been reduced to their prime factors. For example, using a factor tree, you can factor 156 like follows:

    2/ 78, 2 /39, /3 /13

    You can now easily see the prime factors of 156:

    2 x 2 x 3 x 13 = 156

    To generate a factor tree use or also you do it manually by dividing by composite (or non-prime) factors. When you divide by a composite factor, it is divided into its prime components. You may factor 192 using either composite or prime factors,

    So the prime factors of 192 are,

    2 x 2 x 2 x 2 x 2 x 3 = 192