Steps to find Factors of 1029
- Step 1. Find all the numbers that would divide 1029 without leaving any remainder. Starting with the number 1 upto 514 (half of 1029). The number 1 and the number itself are always factors of the given number.
1029 ÷ 21 : Remainder = 0
1029 ÷ 49 : Remainder = 0
1029 ÷ 147 : Remainder = 0
1029 ÷ 343 : Remainder = 0
1029 ÷ 1029 : Remainder = 0
Hence, Factors of
1029 are 1, 3, 7, 21, 49, 147, 343, and 1029
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, 7, 21, 49, 147, 343, 1029 are exact divisors of 1029.
- Every number other than 1 has at least two factors, namely the number itself and 1.
- Each number is a factor of itself. Eg. 1029 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, 7, 21, 49, 147, 343, 1029 are all less than or equal to 1029.
Examples
How many factors are there for 1029?Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029.So there are in total 8 factors.
Raju wishes to write all the prime factors of 1029. Can you assist him in doing the same?Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029.Prime factors of 1029 are 3, 7, 7, 7.
Can you assist Aubrey in finding factors of 1029 that add upto 70?Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029.Factors of 1029 that add upto 70 are 21, 49, as 21 + 49 = 70.
Can you help Diji in finding sum of all even factors of 1029?Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029.Even factors of 1029 are 0.Hence, sum of even factors of 1029 is; 0 = 0.
Rustom is wondering to find the factors of 1029 that add upto 70, but is stuck. Assist Rustom in writing the same.Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029.Factors of 1029 that add upto 70 are 21, 49, as 21 + 49 = 70.
What are the negative pair factors of 1029?Negative factors of 1029 are -1, -3, -7, -21, -49, -147, -343, -1029. Hence, factors of 1029 in pair are (-1,-1029), (-3,-343), (-7,-147), (-21,-49).
Help Rudolph in finding the product of factors of 1029?Factors of 1029 are 1, 3, 7, 21, 49, 147, 343, 1029.Therefore, product of factors of 1029 is; 1 x 3 x 7 x 21 x 49 x 147 x 343 x 1029 = 1121144263281.