Steps to find factors of 945 that add upto 8

Example: Find factors of 945 that add upto 8

  • Sum of 1 and 7 : 1 + 7 = 8

Hence, factors of 945 that add upto 8 are 1 and 7.

Steps to find Factors of 945

  • Step 1. Find all the numbers that would divide 945 without leaving any remainder. Starting with the number 1 upto 472 (half of 945). The number 1 and the number itself are always factors of the given number.
    945 ÷ 1 : Remainder = 0
    945 ÷ 3 : Remainder = 0
    945 ÷ 5 : Remainder = 0
    945 ÷ 7 : Remainder = 0
    945 ÷ 9 : Remainder = 0
    945 ÷ 15 : Remainder = 0
    945 ÷ 21 : Remainder = 0
    945 ÷ 27 : Remainder = 0
    945 ÷ 35 : Remainder = 0
    945 ÷ 45 : Remainder = 0
    945 ÷ 63 : Remainder = 0
    945 ÷ 105 : Remainder = 0
    945 ÷ 135 : Remainder = 0
    945 ÷ 189 : Remainder = 0
    945 ÷ 315 : Remainder = 0
    945 ÷ 945 : Remainder = 0

Hence, Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, and 945

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, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945 are exact divisors of 945.
  • Every number other than 1 has at least two factors, namely the number itself and 1.
  • Each number is a factor of itself. Eg. 945 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, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945 are all less than or equal to 945.

Examples

How many factors are there for 945?

Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945.
So there are in total 16 factors.

Raju wishes to write all the prime factors of 945. Can you assist him in doing the same?

Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945.
Prime factors of 945 are 3, 3, 3, 5, 7.

Can you assist Aubrey in finding factors of 945 that add upto 8?

Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945.
Factors of 945 that add upto 8 are 1, 7, as 1 + 7 = 8.

Can you help Diji in finding sum of all even factors of 945?

Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945.
Even factors of 945 are 0.
Hence, sum of even factors of 945 is; 0 = 0.

Rustom is wondering to find the factors of 945 that add upto 8, but is stuck. Assist Rustom in writing the same.

Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945.
Factors of 945 that add upto 8 are 1, 7, as 1 + 7 = 8.

What are the negative pair factors of 945?

Negative factors of 945 are -1, -3, -5, -7, -9, -15, -21, -27, -35, -45, -63, -105, -135, -189, -315, -945. Hence, factors of 945 in pair are (-1,-945), (-3,-315), (-5,-189), (-7,-135), (-9,-105), (-15,-63), (-21,-45), (-27,-35).

Help Rudolph in finding the product of factors of 945?

Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945.
Therefore, product of factors of 945 is; 1 x 3 x 5 x 7 x 9 x 15 x 21 x 27 x 35 x 45 x 63 x 105 x 135 x 189 x 315 x 945 = 6.359961227871895e+23.