Factors of 1890 that add upto 89 are 1, 18, and 70

How to find factors of 1890 that add upto 89

Steps to find factors of 1890 that add upto 89

Example: Find factors of 1890 that add upto 89

  • Sum of 1, 18, and 70 : 1 + 18 + 70 = 89

Hence, factors of 1890 that add upto 89 are 1, 18, and 70.

Steps to find Factors of 1890

  • Step 1. Find all the numbers that would divide 1890 without leaving any remainder. Starting with the number 1 upto 945 (half of 1890). The number 1 and the number itself are always factors of the given number.
    1890 ÷ 1 : Remainder = 0
    1890 ÷ 2 : Remainder = 0
    1890 ÷ 3 : Remainder = 0
    1890 ÷ 5 : Remainder = 0
    1890 ÷ 6 : Remainder = 0
    1890 ÷ 7 : Remainder = 0
    1890 ÷ 9 : Remainder = 0
    1890 ÷ 10 : Remainder = 0
    1890 ÷ 14 : Remainder = 0
    1890 ÷ 15 : Remainder = 0
    1890 ÷ 18 : Remainder = 0
    1890 ÷ 21 : Remainder = 0
    1890 ÷ 27 : Remainder = 0
    1890 ÷ 30 : Remainder = 0
    1890 ÷ 35 : Remainder = 0
    1890 ÷ 42 : Remainder = 0
    1890 ÷ 45 : Remainder = 0
    1890 ÷ 54 : Remainder = 0
    1890 ÷ 63 : Remainder = 0
    1890 ÷ 70 : Remainder = 0
    1890 ÷ 90 : Remainder = 0
    1890 ÷ 105 : Remainder = 0
    1890 ÷ 126 : Remainder = 0
    1890 ÷ 135 : Remainder = 0
    1890 ÷ 189 : Remainder = 0
    1890 ÷ 210 : Remainder = 0
    1890 ÷ 270 : Remainder = 0
    1890 ÷ 315 : Remainder = 0
    1890 ÷ 378 : Remainder = 0
    1890 ÷ 630 : Remainder = 0
    1890 ÷ 945 : Remainder = 0
    1890 ÷ 1890 : Remainder = 0

Hence, Factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, and 1890

How do you explain factors?

In mathematics, the term factor is a number or an algebraic expression that divides another number or an expression completely without leaving any remainder. A factor of a number can be positive or negative.

Properties of Factors

  • Each number is a factor of itself. Eg. 1890 is a factor of itself.
  • 2 is the only even prime factor any number can have.
  • Every factor of a number is an exact divisor of that number, example 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890 are exact divisors of 1890.
  • 1 is the common and smallest natural factor every number can have.
  • Every number is a factor of zero (0), since 1890 x 0 = 0.

Examples

How many factors are there for 1890?

Factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890.
So there are in total 32 factors.

Raju wishes to write all the prime factors of 1890. Can you assist him in doing the same?

Factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890.
Prime factors of 1890 are 2, 3, 3, 3, 5, 7.

Can you assist Aubrey in finding factors of 1890 that add upto 89?

Factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890.
Factors of 1890 that add upto 89 are 1, 18, 70, as 1 + 18 + 70 = 89.

Can you help Diji in finding sum of all even factors of 1890?

Factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890.
Even factors of 1890 are 2, 6, 10, 14, 18, 30, 42, 54, 70, 90, 126, 210, 270, 378, 630, 1890.
Hence, sum of even factors of 1890 is; 2 + 6 + 10 + 14 + 18 + 30 + 42 + 54 + 70 + 90 + 126 + 210 + 270 + 378 + 630 + 1890 = 3840.

Rustom is wondering to find the factors of 1890 that add upto 89, but is stuck. Assist Rustom in writing the same.

Factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890.
Factors of 1890 that add upto 89 are 1, 18, 70, as 1 + 18 + 70 = 89.

What are the negative pair factors of 1890?

Negative factors of 1890 are -1, -2, -3, -5, -6, -7, -9, -10, -14, -15, -18, -21, -27, -30, -35, -42, -45, -54, -63, -70, -90, -105, -126, -135, -189, -210, -270, -315, -378, -630, -945, -1890. Hence, factors of 1890 in pair are (-1,-1890), (-2,-945), (-3,-630), (-5,-378), (-6,-315), (-7,-270), (-9,-210), (-10,-189), (-14,-135), (-15,-126), (-18,-105), (-21,-90), (-27,-70), (-30,-63), (-35,-54), (-42,-45).

Help Rudolph in finding the product of factors of 1890?

Factors of 1890 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 90, 105, 126, 135, 189, 210, 270, 315, 378, 630, 945, 1890.
Therefore, product of factors of 1890 is; 1 x 2 x 3 x 5 x 6 x 7 x 9 x 10 x 14 x 15 x 18 x 21 x 27 x 30 x 35 x 42 x 45 x 54 x 63 x 70 x 90 x 105 x 126 x 135 x 189 x 210 x 270 x 315 x 378 x 630 x 945 x 1890 = 2.6508726645577336e+52.