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12 I chose this number because it gives me a lot of ideas in how factors work because number 12 is the first number that comes to my mind in factors. Also next year I’m turning 12 and number one and two is my favorite numbers. Also that’s when my brother was born in September.

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Factors 1,2,3,4,6, and 12 are the factors of 12. 12 is divisible by all of its factors and this means all the factors are the divisors. 12 is the dividend of all the factors. 1,2,3,4,6, and 12 are the factors of 12. 12 is divisible by all of its factors and this means all the factors are the divisors. 12 is the dividend of all the factors.

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Quotient The quotients number twelve can make are 12 divided by 2 = 6, 12 divided by 3 = 4, 12 divided by 4 = 3, and 12 divided by 6 = 2. 12 divided by 6 is the most it can go because 6 is the half of 12! But you can go farther then 6 but you have to add remainders. The quotients number twelve can make are 12 divided by 2 = 6, 12 divided by 3 = 4, 12 divided by 4 = 3, and 12 divided by 6 = 2. 12 divided by 6 is the most it can go because 6 is the half of 12! But you can go farther then 6 but you have to add remainders.

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Remainder The remainders of 12 are: 12 divided by 5 = 2 R2 12 divided by 7 = 1 R5 12 divided by 8 = 1 R4 12 divided by 9 = 1 R3 12 divided by 10 = 1 R2 12 divided by 11 = 1 R1

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Multiples The multiples of the number 12 is basically that number + itself repeatedly: 12, 24, 36, 48, 60, 72, 84, 96, 108…and so on. The multiples of the number 12 is basically that number + itself repeatedly: 12, 24, 36, 48, 60, 72, 84, 96, 108…and so on.

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Product Products are just answers of a plus equation. There has to be numbers that equal 12 so that the number 12 is a product. The equations are: 1 + 11, 2 + 10, 3 + 9, 4 + 8, 5 + 7, and 6 + 6 = 12.

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Composite Number Number 12 is a composite number. It’s a composite number because it is not a prime number and it is a whole number with factors more then 1 and the number itself (12). Number 12 is a composite number. It’s a composite number because it is not a prime number and it is a whole number with factors more then 1 and the number itself (12).

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Factor Game/Product Game In the factor game the number 12 is not such a good first number to pick because the best number to start with in the factor game is the biggest prime number because the opponent gets only 1 point when u get a good amount of points depending in the size of the prime number. In the product game the number 12 is bad because number 1 is the best to make your opponent choose the number only between 1-9.

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Abundant The number 12 is an abundant number because it’s proper factors are: 1,2,3,4, and 6 so you do 1 + 2 + 3 + 4 + 6 = 16. But 16 is bigger then 12, so 12 is an abundant number.

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Deficient ► The number 12 is not a deficient number because the proper factors are more then the number itself when they are added together. But deficient is the opposite of abundant but number 12 is an abundant number so it can not be a deficient number.

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Perfect Number 12 is not a perfect number because its proper factors does not add up to itself.

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Near Perfect The number 12 is not a near perfect number because it’s proper factors does not add up to the number itself. The number 12 is not a near perfect number because it’s proper factors does not add up to the number itself.

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Rectangles 1 x 12, 2 x 6, and 3 x 4 are all the dimensions of the rectangles of 12.

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Factor Pairs The factor pairs of 12 are: 1 x 12, 2 x 6, and 3 x 4 which is the factors put together to have the product of 12.

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Even The number 12 is an even number because it’s amount has the whole number not having any number left out. E.g. (tally marks) // // // // // // that has 12 tally marks and none are left out but 11 (odd) has: // // // // // / has only one that has no partner so that is a odd. But number 12 is even.

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Factor tree/Prime Factorization/Factor string 12 = 2 x 2 x 3. 12 = 2 x 2 x 3. 6 2 232 The Factor string is the smallest available and longest equation out of the factors of 12 or any other target number. The diagram on the left is the Factor tree that help finds the factor string. Also a prime factorization is a factor string that is why it is all prime.

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Relatively Prime 12 has 5, 7, and 11 as the only pairs that can fit to make relatively prime numbers. Which is a pair of numbers with no common factors except for 1. e.g. 12 and 5 are relatively prime because the factors of 12 are: 1, 2, 3, 4, 6, and 12. The factor of 5 are: 1 and 5. So there are no common factors in each except for 1. 12 has 5, 7, and 11 as the only pairs that can fit to make relatively prime numbers. Which is a pair of numbers with no common factors except for 1. e.g. 12 and 5 are relatively prime because the factors of 12 are: 1, 2, 3, 4, 6, and 12. The factor of 5 are: 1 and 5. So there are no common factors in each except for 1.

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The End Thank you for listening

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Factors and Prime Factorization

Factors and Prime Factorization

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