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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.
What is the prime factorization tree for the prime factorization of 1997?
1997 is already prime; no tree.
What is the prime factorization tree for the prime factorization of 51?
51 3,17
What is the prime factorization tree of the prime factorization of 350?
350=2x5x5x7
What is the prime factorization tree for the prime factorization of 33?
33 11,3
What is a diagram that shows the prime factorization of a number?
a prime factorization tree
Prime factorization tree of 97?
The prime factorization of 97 is 97 itself, as it is a prime number and cannot be divided evenly by any other numbers. Therefore, there is no prime factorization tree for the number 97.
What is the prime factorization tree for the prime factorization of 50?
50 25,2 5,5,2
What is the prime factorization tree of 131?
131 is already prime. No tree.
What is the prime factorization tree for the prime factorization of 585?
585 195,3 65,3,3 13,5,3,3
What is the prime factorization tree for the prime factorization of 141?
141 = 3 x 47
What is the prime factorization tree for the prime factorization of 572?
572=2x286=2x2x143=2x2x11x13
What is a prime factorization tree for 3?
3 is already prime. No need for a tree.
