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All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this.
Example: 210
210 Divide by two.
105,2 Divide by three.
35,3,2 Divide by five.
7,5,3,2 Stop. All the factors are prime.
2 x 3 x 5 x 7 = 210
That's the prime factorization of 210.
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What is a diagram that shows the prime factorization of a number?
a prime factorization tree
What is the prime factorization tree for the prime factorization of 612?
612 306,2 153,2,2 51,3,2,2 17,3,3,2,2
What is the prime factorization tree for the prime factorization of 96?
96 48,2 24,2,2 12,2,2,2 6,2,2,2,2 3,2,2,2,2,2
What is the prime factorization of 32 with a factor tree?
the prime factorization of 32 is 2x2x2x2x2 and the factor tree is 32 8 4 2x4 2x2 2x2
How can making a factor tree help you find the prime factorization of a number?
If completed correctly, the bottom branch of a factor tree will be the prime factorization of the number at the top.
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