Steps to find Factors of 405
- Step 1. Find all the numbers that would divide 405 without leaving any remainder. Starting with the number 1 upto 202 (half of 405). The number 1 and the number itself are always factors of the given number.
405 ÷ 135 : Remainder = 0
405 ÷ 405 : Remainder = 0
Hence, Factors of
405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, and 405
How can we define factors?
In mathematics a factor is that number which divides into another completely, i.e. leaving 0 as a remainder. Or we can say, any numbers when multiplied together to give a product are termed as the factors of that obtained product. It can be both positive or negative.
Properties of Factors
- Every factor of a number is an exact divisor of that number, example 1, 3, 5, 9, 15, 27, 45, 81, 135, 405 are exact divisors of 405.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Each number is a factor of itself. Eg. 405 is a factor of itself.
- 1 is the common and smallest natural factor every number can have.
- Every factor of a number is less than or equal to the number, eg. 1, 3, 5, 9, 15, 27, 45, 81, 135, 405 are all less than or equal to 405.
Examples
How many factors are there for 405?Factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405.So there are in total 10 factors.
Raju wishes to write all the prime factors of 405. Can you assist him in doing the same?Factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405.Prime factors of 405 are 3, 3, 3, 3, 5.
Can you assist Aubrey in finding factors of 405 that add upto 12?Factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405.Factors of 405 that add upto 12 are 3, 9, as 3 + 9 = 12.
Can you help Diji in finding sum of all even factors of 405?Factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405.Even factors of 405 are 0.Hence, sum of even factors of 405 is; 0 = 0.
Help Ashi in writing the negative pair factors of 405?Negative factors of 405 are -1, -3, -5, -9, -15, -27, -45, -81, -135, -405. Hence, factors of 405 in pair are (-1,-405), (-3,-135), (-5,-81), (-9,-45), (-15,-27).
Rubel's teacher has asked her to find the factors of 405 and to write the positive factors and negative factors of 405. But she doesn't know how to get started help Rubel in finding the same.Positive factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405. Negative factors of 405 are -1, -3, -5, -9, -15, -27, -45, -81, -135, -405.
Write the correct prime factorization pattern of 405?Correct prime factorization pattern of 405 is 34 x 5.