Find factors of 1000 that add upto 65

Steps to find factors of 1000 that add upto 65

Find all factors.
Then we find the sum of combinations of factors.
Note down the combination of factors with sum as 65, and read off the answer!

Example: Find factors of 1000 that add upto 65

Sum of 1, 4, 10, and 50 : 1 + 4 + 10 + 50 = 65

Hence, factors of 1000 that add upto 65 are 1, 4, 10, and 50.

Steps to find Factors of 1000

Step 1. Find all the numbers that would divide 1000 without leaving any remainder. Starting with the number 1 upto 500 (half of 1000). The number 1 and the number itself are always factors of the given number.

1000 ÷ 1 : Remainder = 0

1000 ÷ 2 : Remainder = 0

1000 ÷ 4 : Remainder = 0

1000 ÷ 5 : Remainder = 0

1000 ÷ 8 : Remainder = 0

1000 ÷ 10 : Remainder = 0

1000 ÷ 20 : Remainder = 0

1000 ÷ 25 : Remainder = 0

1000 ÷ 40 : Remainder = 0

1000 ÷ 50 : Remainder = 0

1000 ÷ 100 : Remainder = 0

1000 ÷ 125 : Remainder = 0

1000 ÷ 200 : Remainder = 0

1000 ÷ 250 : Remainder = 0

1000 ÷ 500 : Remainder = 0

1000 ÷ 1000 : Remainder = 0

Hence, Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, and 1000

What are factors?

In mathematics, the term factor is used for that number which divides the other number to leave 0 as a remainder. A factor of a number can be positive or negative.

Properties of Factors

Factors and multiples are two different terms. Factors are those number which when multiplied together give the number itself, on the other hand multiples are what we get after multiplying the same number with and other number.
Prime factors are those factors which are further divisible by only two numbers i.e. 1 ans the factor itself.
Every number is a factor of zero (0), since 1000 x 0 = 0.
Every number other than 1 has at least two factors, namely the number itself and 1.
Every factor of a number is an exact divisor of that number, example 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000 are exact divisors of 1000.

Examples

How many factors are there for 1000?

Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000.
So there are in total 16 factors.

Raju wishes to write all the prime factors of 1000. Can you assist him in doing the same?

Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000.
Prime factors of 1000 are 2, 2, 2, 5, 5, 5.

Can you assist Aubrey in finding factors of 1000 that add upto 65?

Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000.
Factors of 1000 that add upto 65 are 1, 4, 10, 50, as 1 + 4 + 10 + 50 = 65.

Can you help Diji in finding sum of all even factors of 1000?

Factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000.
Even factors of 1000 are 2, 4, 8, 10, 20, 40, 50, 100, 200, 250, 500, 1000.
Hence, sum of even factors of 1000 is; 2 + 4 + 8 + 10 + 20 + 40 + 50 + 100 + 200 + 250 + 500 + 1000 = 2184.

Help Ashi in writing the negative pair factors of 1000?

Negative factors of 1000 are -1, -2, -4, -5, -8, -10, -20, -25, -40, -50, -100, -125, -200, -250, -500, -1000. Hence, factors of 1000 in pair are (-1,-1000), (-2,-500), (-4,-250), (-5,-200), (-8,-125), (-10,-100), (-20,-50), (-25,-40).

Rubel's teacher has asked her to find the factors of 1000 and to write the positive factors and negative factors of 1000. But she doesn't know how to get started help Rubel in finding the same.

Positive factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000. Negative factors of 1000 are -1, -2, -4, -5, -8, -10, -20, -25, -40, -50, -100, -125, -200, -250, -500, -1000.

Write the correct prime factorization pattern of 1000?

Correct prime factorization pattern of 1000 is 2³ x 5³.

Factors of 1000 that add upto 65

How to find factors of 1000 that add upto 65