Write the factors of 150.

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Write the factors of 150.

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1,2,3,5,6,10,15,25,30,50,75

1,2,3,5,6,10,15,25,30,50,75,150

2,3,5,6,10,15,25,30,50,75,150

2,3,5,6,10,15,25,30,50,75

answer is B.

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Detailed Solution

Concept- The numbers that divide 150 are known as the factors of 150. When two factors are multiplied together, the result is 150. So, we'll look for pairs of 150 that, when multiplied, produce the result 150.

and

are definitely the factors of 150 because both divide 150 and

Now let us divide 150 by 2. We get

. So, 2 is the factor of 150. Here, 75 is the quotient. Thus, 75 is also the factor of 150.
Now let us divide 150 by 3. We get

. Because 3 divides 150, so 3 is the factor of 150. Here, 50 is the quotient. Thus, 50 is also the factor of 150.
If we divide the number by 4, we get

. Because 37.5 is not the whole number so 4 is not a factor of 150.
If we divide the number by 5, we get

. Because 5 divides 150, so 5 is a factor of 150. Here, 30 is the quotient. Thus, 30 is also a factor of 150.
If we divide the number by 6, we get

. Thus, 6 and 25 are also the factors of 150.
Dividing by 7, we get

. Thus, 7 is not a factor of 150.
Because the number does not get divided by 4 so it will not get divided by 8 also.
Dividing by 9, we get

so 9 is not a factor of 150.
Dividing by 10, we get

. So, 10 and 15 are factors of 150.
As we can see, there will be no more factors because 150 will not divide

, 12 (not divisible by 4 or 8

and

. So, 15 factors will repeat.
Therefore, the obtained factors are 1,2,3,5,6,10,15,25,30,50,75,150.
Hence, the correct answer is option 2) 1,2,3,5,6,10,15,25,30,50,75,150.

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