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Q:

# What are the factors of 49?

A:

The factors of 49 are 1, 7 and 49. The factors of a given number are those numbers that divide into it evenly leaving no remainder. One and the number itself, 49 in this case, are always factors.

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The number 49 is a square, which means that a number multiplied by itself yields 49, and that number is seven. Seven is called the square root of 49. Seven is also a prime number, which means it is evenly divisible by only one and itself. The prime factorization of 49 therefore is 7 x 7 or 7^2. Prime factorization of a number involves finding the prime numbers that multiply together to yield that number.

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## Related Questions

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The two factors of 17 are 1 and 17. Because 17 only has one set of factors, or factor pair, it is a prime number. This means it can only be divided by 1 and itself.

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The factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30. A number is considered the factor of another number when it can be evenly divided into that number.

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The factors of 31 are 31,1,-1, and -31. For any number, x, the factors are the set of numbers that can be multiplied by another number to equal x.