What are the factor strings of 840?
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What are the factor strings of 840?
The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840 and factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498.
What is the longest factor string for 840?
of that number. In Problem 4.1, you saw that the longest possible factor string for 840 is made up of prime numbers. We call this string the of 840. In fact, the longest factor string for any whole number is the prime factorization.
How many even factors are in 840?
Thus, 840 with its record setting 32 factors, can be written as the sum of 7 consecutive numbers, 7 consecutive even numbers, and 8 consecutive odd numbers!
What are the multiples of 840?
Solution: The first 10 multiples of 840 are 840, 1680, 2520, 3360, 4200, 5040, 5880, 6720, 7560 and 8400.
What is a factor string?
Factor Strings. A factor string is a name for a number written as a product of two or more factors. In a factor string, 1 may not be used as a factor. The length of a factor string is equal to the number of factors in the string. The longest factor string for a number is made up of prime numbers.
How many ways can 840 be written as the product of 2 numbers?
Factor pairs: 840 = 1 × 840, 2 × 420, 3 × 280, 4 × 210, 5 × 168, 6 × 140, 7 × 120, 8 × 105, 10 × 84, 12 × 70, 14 × 60, 15 × 56, 20 × 42, 21 × 40, 24 × 35 or 28 × 30.
What do you call the longest string of prime factors for a number?
The longest factor string for a number is called the prime factorization of that number. The order of the factors is not important. For example, 2 * 10 and 10 * 2 are the same factor string.
What is a double prime number?
Definition of double prime : the symbol ″ used to distinguish arbitrary characters (such as a, a′, and a″), to indicate a specific unit (such as inches), or to indicate the second derivative of a function (such as p″ or f″(x)) — compare prime sense 7.