7 (number)

natural number From Wikipedia, the free encyclopedia

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The number seven is a natural number that comes after six and before eight. In Roman numerals, it is VII.

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Pronunciation of the number 7
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Mathematics

In mathematics, the number seven is an odd number and a prime number. It is also a Mersenne prime.

Divisibility Rule

  • To test if an integer is divisible by 7 or not,
  1. Take off the last digit and multiply it by 2.
  2. Subtract that product from the root number (the integer without the last digit).[1]
  3. Repeat the second step again and again until it is clear that the number is divisible by 7 or not.

Example

918785

  1. 5×2=10, 91878-10=91868
  2. 8×2=16, 9186-16=9170
  3. 0×2=0, 917-0=917
  4. 7×2=14, 91-14=77

77 is divisible by 7, so the original number 918785 is also divisible by 7.

Proof: Pretend is the root number and is the last digit. Then is the whole number. If the whole number () is divisible by 7, is also a multiple of 7. And is also a multiple 7. That proves is divisible by seven, since 3 and 6 are both multiples of 3. So is also divisible by 7.

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