How do you write the factor trees for 24?

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How do you write the factor trees for 24?

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Answer 1 · 2016-11-18T02:06:59

Keep "breaking off" prime pieces until you can't do it anymore.

Explanation:

$24$ $"       24"$                24 is even; we can take out a factor of 2.
$/  \$ $"      /  \"$
$2 12$ $"     2   12"$             12 is also even; take out another 2.
$/  \$ $"         /  \"$
$2 6$ $"        2    6"$          6 is again even, so we take out another 2.
$/  \$ $"            /  \"$
$2 3$ $"           2    3"$       3 is prime. We are done.

The prime factorization of $24$ $24$ is the product of all the "nodes" of the tree. In this case,

$24 = 2 \times 2 \times 2 \times 3$ $24=2times2times2times3$ , or
$24 = 2^{3} \times 3$ $24=2^3times3$

The final factor tree can be written as above, or it can be written with all the nodes carried down to the bottom line:

$24$ $"       24"$
$/  \$ $"      /  \"$
$2 12$ $"     2   12"$
$/   /  \$ $"    /   /  \"$
$2 2 6$ $"   2   2    6"$
$/   /    / \$ $"  /   /    / \"$
$2 2 2 3$ $" 2   2    2   3"$

This takes more time, but it is easier to find all the nodes, because they're all on the bottom row.

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How do you write the factor trees for 24?

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