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There are a few ways to think about what the factor of 140 is. One way to think about it is that the factor of 140 is all of the numbers that go into 140 evenly. So, the factor of 140 would be 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140. Another way to think about the factor of 140 is that it is the highest number that is a factor of both 140 and 1. So, if you were looking for the factor of 140, you would want to find the highest number that is a factor of both 140 and 1. One way to do this is to use a factor tree.
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What is the smallest factor of 140?
The smallest factor of 140 is 2. 140 is a composite number, and it has 24 factors. The factors of 140 are 1, 2, 4, 5, 10, 20, 28, 35, 40, 70, 140.
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What is the largest factor of 140?
There is no definitive answer to this question as it depends on how one defines "largest factor." One could argue that the largest factor of 140 is 70, as this is the largest number that 140 can be divided by evenly. However, one could also argue that the largest factor of 140 is 1, as this is the largest number that 140 can be divided by without resulting in a fraction. Ultimately, it is up to the individual to decide which definition of "largest factor" they want to use in this instance.
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How many factors does 140 have?
There are a lot of factors that go into deciding how many factors a number has. The number itself is a factor, as are any factors of the number's divisors. For example, the number 140 has the factors 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 40, 70, and 140. Some of those factors are also divisors of other numbers, like 2 is a divisor of 4 and 140 is a divisor of 280. So, the number of factors that a number has depends on the number itself and all of its divisors.
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What are the factors of 140?
There are many factors of 140. They include the following: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 40, 70, and 140. Each of these numbers can be divided evenly into 140 with no remainder.
Some of the factors of 140 are also its powers of two. For example, 1, 2, and 4 are all powers of two and therefore also factors of 140. Another factor of 140 is the square root of 140, which is 11.98.
One way to find the factors of 140 is to use a factor tree. First, the number 140 is evenly divided by 2 to get the number 70. Then, 70 is evenly divided by 2 to get the number 35. Next, 35 is evenly divided by 5 to get the number 7. Finally, 7 is evenly divided by 7 to get the number 1.
The factors of 140 can also be found using a prime factorization. The prime factorization of 140 is 2 x 2 x 5 x 7. This can be written as 2^2 x 5 x 7.
The factors of 140 can also be found using the Euclidean algorithm. This algorithm can be used to find the greatest common divisor (GCD) of two numbers. The steps for the Euclidean algorithm are as follows:
1. Divide the larger number by the smaller number. 2. Write down the remainder. 3. Divide the smaller number by the remainder. 4. Write down the remainder. 5. Continue steps 3 and 4 until the remainder is 0. 6. The GCD is the last number that was divided evenly.
For example, to find the GCD of 140 and 24 using the Euclidean algorithm, follow these steps:
1. 140 ÷ 24 = 5 with a remainder of 20 2. 24 ÷ 20 = 1 with a remainder of 4 3. 20 ÷ 4 = 5 with a remainder of 0
Therefore, the GCD of 140 and 24 is 4.
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What is the greatest common factor of 140?
The greatest common factor (GCF), also called the greatest common divisor (GCD), or highest common factor (HCF), of two or more non-zero integers is the largest positive integer that divides the numbers without a remainder.
For example, the GFC of 120 and 140 is 20.
The greatest common factor can be found using the prime factorization method. To find the GCF of two numbers using this method, you would first factor each number into its prime factors. Then, you would identify the common factors and multiply them together.
120 = 2 x 2 x 2 x 3 x 5 140 = 2 x 2 x 5 x 7
The common factors are 2, 2, and 5. The GCF is 2 x 2 x 5, or 20.
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What is the least common multiple of 140?
In mathematics, the least common multiple (LCM) of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b.
For example, LCM(4, 6) = 12 because 12 is the smallest positive integer that is divisible by both 4 and 6.
The LCM of more than two integers is calculated by finding the LCM of the first integer with the LCM of the second integer, and so on.
For example, LCM(4, 6, 8) = 24 because 24 is the smallest positive integer that is divisible by both 4, 6, and 8.
LCM(140) = 140 because 140 is the smallest positive integer that is divisible by 140.
LCM(140, 4) = 140 because 140 is the smallest positive integer that is divisible by both 140 and 4.
LCM(140, 6) = 420 because 420 is the smallest positive integer that is divisible by both 140 and 6.
So, the LCM of 140 and 4 is 140, and the LCM of 140 and 6 is 420.
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What is 140 divisible by?
140 is divisible by 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 40, 70, and 140. These numbers all share the common factors of 1 and 140. When you divide 140 by any of these numbers, the remainder will be 0. 140 is also divisible by 3, 6, 9, 11, 12, 13, 15, 18, 22, 24, 26, 27, 30, 33, 37, 38, 39, 41, 44, 45, 46, 48, 50, 52, 55, 56, 57, 60, 66, 69, 72, 77, 78, 80, 84, 90, 99, 102, 105, 110, 114, 120, 132, 135, and 136. These numbers share the common factors of 2, 3, 4, and 5. When you divide 140 by any of these numbers, the remainder will also be 0.
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Is 140 a prime number?
A prime number is a whole number greater than 1 that cannot be made by multiplying other whole numbers. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29.
When we look at the number 140, we can see that it is not a prime number because it can be made by multiplying two other whole numbers. 140 can be evenly divided by 2, 4, 5, 10, 20, 28, 35, 70, and 140. Therefore, 140 is not a prime number.
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What is the square root of 140?
The square root of 140 is 11.704699910. This number is obtained by taking the square root of 140 and then rounding to the nearest thousandth. The square root of 140 is a decimal number, so it is not possible to obtain an exact answer. However, the approximate answer of 11.704699910 is accurate to four decimal places.
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Frequently Asked Questions
What are the factors of 140 in 2 pairs?
1 1 × 140 = 140 2 2 × 70 = 140 3 4 × 35 = 140 4 5 × 28 = 140 5 7 × 20 = 140 6 10 × 14 = 140 7 14 × 10 = 140 8 20 × 7 = 140 9 28 × 5 = 140 10 35 × 4 = 140
What is the product of prime factorization of 140?
The product of prime factorization for 140 would be 2 x 2 x 5 x 7.
Is 140 a composite number?
Yes, 140 is a composite number. It is the product of two positive numbers other than 1 and itself.
What are the factors of 14?
1,4,7,10,13,16,19,22,25
What are the factor pairs of 140?
There are exactly four factor pairs of 140. They are 1 x 140, 2 x 140, 4 x 140 and 5 x 140.
Sources
- https://math.answers.com/basic-math/What_are_the_factors_and_prime_factors_of_140
- https://math.answers.com/questions/What_is_140_divisible_by
- https://calculat.io/en/number/factors-of/140
- https://www.factors-of.com/factor-tree/Factor-tree-for_140_
- https://calculat.io/en/number/greatest-common-factor-of/40--140
- https://www.gcflcm.com/factors-of-140
- https://visualfractions.com/calculator/divisible-by-anything/is-140-divisible-by-anything/
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- https://byjus.com/us/math/factors-of-140/
- https://www.calculateme.com/math/factor-calculator/140
- https://www.mathwarehouse.com/answered-questions/factors/what-are-the-factors-of-140-solved.php
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