# Test the following numbers for divisibility by 3, 5, 6 and 11. (Do not divide or factorise.) a) 68 979

The number 68,979 is divisible by 3 but not by 5, 6, or 11.

### Explanation:

To test a number for divisibility by 3, we sum up its individual digits. If the sum is divisible by 3, then the number itself is divisible by 3. For the number 68,979, the sum of its digits is 6 + 8 + 9 + 7 + 9 = 39. Since 39 is divisible by 3, 68,979 is also divisible by 3.

To test a number for divisibility by 5, we simply check if the last digit is either 0 or 5. In the number 68,979, the last digit is 9, which is neither 0 nor 5. Therefore, 68,979 is not divisible by 5.

To test a number for divisibility by 6, we need to check if it is divisible by both 2 and 3. From the previous tests, we already know that 68,979 is divisible by 3, so we now need to check if it is divisible by 2. Since the last digit is 9, which is an odd number, 68,979 is not divisible by 2, and therefore not divisible by 6.

To test a number for divisibility by 11, we take the alternating sum of its digits. In this case, we have 6 - 8 + 9 - 7 + 9 = 9. Since 9 is not divisible by 11, 68,979 is not divisible by 11.

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## Related Questions

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The set of all real numbers x that satisfies -3 < x<14 is given by the following interval notation: [-3,14) True or False?

Step-by-step explanation:

I just took the test and got it right :)

Step-by-step explanation:

The set of all integer numbers

I also need answers to this before 8pm

-geometry

32

Step-by-step explanation:

JL = LG/2 -->

16 = LG/2 -->

32 = LG

I believe LG is 16 because since it’s a parallelogram HK bisects JG

Consider this composite figure that is made of two half spheres a cylinder. A composite figure is comprised of one cylinder and two half spheres. The cylinder has a height of 9 millimeters and radius of 5 millimeters. The volumes of each figure that make the composite figure have been determined. Sphere V = 500 3 π mm3 Cylinder V = 225π mm3 What is the volume of the composite figure?

1,175/3mm3

Step-by-step explanation:

I got it right

Actually:

V = 500/3

2/3 of the pizza was left over last night. Then, Marcy ate another 2/9 of it. How much is left over now?

4/9 is left over.

Step-by-step explanation:

First make the denominators the same. 2/3=6/9. 6/9-2/9=4/9.

An architect's compensation package includes the total cost of a \$250-per-month health insurance plan, the total cost of a \$35-per-month life insurance plan, and a salary of \$55,000 per year. what is the yearly value of the compensation package

The answer is A \$ 58,420

Explanation:

If we multiply the monthly benefits of health and life insurance combined we will get the annual value of them.

\$35 + \$250 = \$285

\$285*12 = \$3420

We already know the annual salary package which is \$55000, by adding annual salary to the above calculated annual benefits you will get the total annual value of total compensation.

\$55000+\$3420 = \$58,420

Step-by-step explanation:

Have a good day;-)