Factors of 25
What are Factors?
Factors of a number are integers that divide the number evenly, without leaving a remainder. They play a crucial role in various mathematical operations.
Also Check: Factors of 215
What are Factors of 25?
The factors of 25 are:
- 1
- 5
- 25
These numbers can be multiplied together to give 25.
How to Calculate Factors of 25?
To find the factors of 25:
- Start dividing 25 by the smallest positive integer, which is 1.
- Continue dividing by consecutive integers (2, 3, etc.) until you reach the square root of 25, which is 5.
- Record each divisor and its corresponding quotient if the division results in a whole number.
The factors of 25 obtained this way are 1, 5, and 25.
Also Check: Factors of 144
Factors of 25 by Prime Factorization
Prime factorization expresses a number as a product of prime numbers. For 25:
- Prime factorization is 5×55 \times 55×5 or 525^252.
- Hence, the factors of 25 derived from prime factorization are 1, 5, and 25.
Factors of 25 in Pairs
Factors of 25 can be paired to demonstrate how they multiply to give 25:
- 1×25=25
- 5×5=25
Also Check: Factors of 150
These pairs illustrate that 25 has complementary factors (1, 25) and a square pair (5, 5), reflecting its status as a perfect square.
Conclusion
Understanding the factors of a number like 25 is fundamental in mathematics and problem-solving. It involves identifying integers that evenly divide 25, aiding in various calculations and mathematical applications.
Also Check: Factors of 12
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Frequently Asked Questions on Factors of 25
Yes, 25 is a perfect square because its square root is 5, which is also a factor of 25.
No, 25 is not a prime number. Prime numbers are only divisible by 1 and themselves. In this case, 25 is divisible by 1, 5, and 25, so it is not a prime number.
25 has 3 factors, which are 1, 5, and 25.
No, the factors of 25 are positive integers only.
No, 25 can only be divided evenly by 1, 5, and 25. Any other number will result in a fractional value and not a whole number.