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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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Continue Learning about Math & Arithmetic
What does find the number for each factorization mean?
prime factorization each number is a part of the whole
What form do you put a number in after you find its prime factorization?
ascending order
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.
Find the prime factorization of the number 756?
756 = 22 × 33 × 7
Find the prime factorization of the composite number 77?
77 = 7 × 11
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