You can use two methods: the sequential factoring or the smaller number method.
Sequential (factor tree):
100 divided by 2 equals 50, divided by 2 equals 25, divided by 5 equals 5.
2 x 2 x 5 x 5 = 100
Smaller factors:
100 = 10 x 10 and 10 = 2 x 5
so 100 = (2 x 5) x (2 x 5) = 2 x 2 x 5 x 5
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the prime factorization is 2 x 2 x 5 x 5!
The prime factorization of 10 is 2 x 5. The prime factorization of 100 is 2^2 x 5^2. The prime factorization of 1000 is 2^3 x 5^3.
Because 100 only has one prime factorization.Because each composite whole number has a unique prime factorization.
Yes. Any prime number greater than 100 has only itself in its prime factorization. Examples: The prime factorization of 101 is 101. The prime factorization of 109 is 109. The prime factorization of 127 is 127. The prime factorization of 311 is 311. The prime factorization of 691 is 691.
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