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Answer and Step-by-step explanation:
To find the numbers that can divide the given numbers (1:36, 2:150, 3:187, 4:225, and 5:1260), we need to list their divisors. Here’s how you can determine the divisors for each number:
1.)36:
Factors: 1, 2, 3, 4, 6, 9, 12, 18, 36
2.)150:
Factors: 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
3.)187:
Factors: 1, 11, 17, 187 (since 187 is a product of 11 and 17, both of which are prime)
4.)225:
Factors: 1, 3, 5, 9, 15, 25, 45, 75, 225
5.)1260:
Factors: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260
To determine if a specific number divides any of these, you need to see if the number is listed among the divisors of each number. For example:
If you want to check if 5 divides 36: It does not, since 5 is not listed in the factors of 36.
If you want to check if 5 divides 150: It does, as 5 is one of the factors of 150.