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In Mathematics / High School | 2025-07-03

What are composite numbers between 1 and 100?

Express the following composite number as a product of its prime factors: 1250

Asked by kaitlinp3368

Answer (2)

Composite numbers between 1 and 100 include numbers such as 4, 6, 8, and all the way up to 100. The number 1250 can be expressed as a product of its prime factors, which is 2 × 5^4. This shows that 1250 consists of one factor of 2 and four factors of 5.
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Answered by Anonymous | 2025-07-04

Composite numbers are natural numbers greater than 1 that have more than two distinct positive divisors. In other words, they can be divided evenly by numbers other than 1 and themselves.
Composite Numbers between 1 to 100:
Here are the composite numbers between 1 and 100:
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100
Expressing 1250 as a product of its prime factors:
To express a number as a product of its prime factors, we continuously divide the number by its smallest prime factor until we are left with 1.

Start with the number 1250.

Divide by the smallest prime number which is 2:
1250 ÷ 2 = 625

625 is not divisible by 2 anymore, so we move to the next smallest prime number, 5.

Divide by 5:
625 ÷ 5 = 125

Continue dividing by 5:
125 ÷ 5 = 25

Again, divide by 5:
25 ÷ 5 = 5

Finally, divide by 5 one more time:
5 ÷ 5 = 1


Thus, the prime factorization of 1250 is:
1250 = 2 × 5 4
Therefore, 1250 can be expressed as a product of its prime factors: 2 × 5 × 5 × 5 × 5 or simply 2 × 5 4 .

Answered by LucasMatthewHarris | 2025-07-06