What Constitutes the 49 Factors?

1, 7, and 49 are the factors of 49. The numbers that divide into a given number evenly and leave no residue are said to be the factors of that number. There are always two factors: one and the actual number, in this case 49.

The fact that 49 is a square means that it can be divided by itself to produce 49, which equals the number seven. The square root of 49 is seven. Seven is a prime number, which means that only one and itself equally divide it.

Therefore, the prime factorization of 49 is 7 x 7 or 72. Finding the prime numbers that add up to a given number is the process of determining its prime factors.

Misha Khatri
Misha Khatri is an emeritus professor in the University of Notre Dame's Department of Chemistry and Biochemistry. He graduated from Northern Illinois University with a BSc in Chemistry and Mathematics and a PhD in Physical Analytical Chemistry from the University of Utah.

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