Seven numbers

Write seven 4-digit numbers that are divisible by 3 and at the same time by 4.

Result

a1 =  1008
a2 =  1020
a3 =  1032
a4 =  1044
a5 =  1056
a6 =  1068
a7 =  1080

Solution:

3 ... primenumber 4=22 LCM(3,4)=22⋅3=12  d=LCM(3,4)=12 b=1000/d=1000/12≐2503≐83.3333 b1=⌈b⌉=⌈83.3333⌉=84  a1=b1⋅ d=84⋅ 12=10083 \ ... \ prime number \ \\ 4=2^2 \ \\ LCM(3, 4)=2^2 \cdot 3=12 \ \\ \ \\ d=LCM(3,4)=12 \ \\ b=1000/d=1000/12 \doteq \dfrac{ 250 }{ 3 } \doteq 83.3333 \ \\ b_{1}=\lceil b \rceil=\lceil 83.3333 \rceil=84 \ \\ \ \\ a_{1}=b_{1} \cdot \ d=84 \cdot \ 12=1008
a2=a1+d=1008+12=1020a_{2}=a_{1}+d=1008+12=1020
a3=a2+d=1020+12=1032a_{3}=a_{2}+d=1020+12=1032
a4=a3+d=1032+12=1044a_{4}=a_{3}+d=1032+12=1044
a5=a4+d=1044+12=1056a_{5}=a_{4}+d=1044+12=1056
a6=a5+d=1056+12=1068a_{6}=a_{5}+d=1056+12=1068
a7=a6+d=1068+12=1080a_{7}=a_{6}+d=1068+12=1080

Try another example


Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Do you want to calculate greatest common divisor two or more numbers?

Following knowledge from mathematics are needed to solve this word math problem:

Next similar math problems:

  1. Write decimals
    numbers_34 Write in the decimal system the short and advanced form of these numbers: a) four thousand seventy-nine b) five hundred and one thousand six hundred and ten c) nine million twenty-six
  2. Prime factors
    prime Write 98 as product of prime factors
  3. Roman numerals 2-
    rome-italy_2 Subtract up the number written in Roman numerals. Write the results as Roman numbers.
  4. Street numbers
    street Lada came to aunt. On the way he noticed that the houses on the left side of the street have odd numbers on the right side and even numbers. The street where he lives aunt, there are 5 houses with an even number, which contains at least one digit number 6
  5. Digit sum
    numbers_41 Determine for how many integers greater than 900 and less than 1,001 has digit sum digit of the digit sum number 1.
  6. Digits
    pin_keyboard How many odd four-digit numbers can we create from digits: 0, 3,5,6,7?
  7. Sponsor
    tenis_2 The children of the tennis school received 64 white and 48 yellow balls from the sponsor. When asked about how many balls they could take, they were answered: "You have so many that none of you will have more than 10 balls and all will have the same numbe
  8. Bicycle wheels
    kolo_1 Driving wheel of a bicycle has 54 teeth. The driven wheel has 22 teeth. After how many revolutions will meet the same teeth?
  9. Divisibility
    nice_circles Determine all divisors of number 84.
  10. Divisibility 2
    divisors How many divisors has integer number 13?
  11. Common divisors
    prime Find all common divisors of numbers 30 and 45.
  12. LCM of two number
    numbers2_19 Find the smallest multiple of 63 and 147
  13. Rounding
    approx The following numbers round to the thousandth:
  14. Valid number
    numbers Round the 453874528 on 2 significant numbers.
  15. Children's home
    jablka The children's home received a gift to Nicholas of 54 oranges, 81 chocolate figurines, and 135 apples. Every child received the same gift and nothing was left. a) How many packages could be prepared? b) what did the children find in the package?
  16. Crates 2
    crate One crate will hold 50 oranges. If Bob needs to ship 932 oranges, how many crates will he need?
  17. Round it
    rounding 0.728 round to units, tenths, hundredths.