1001 (number) facts for kids
Quick facts for kids
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|---|---|---|---|---|
| Cardinal | one thousand one | |||
| Ordinal | 1001st (one thousand first) |
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| Factorization | 7 × 11 × 13 | |||
| Greek numeral | ,ΑΑ´ | |||
| Roman numeral | MI | |||
| Binary | 11111010012 | |||
| Ternary | 11010023 | |||
| Senary | 43456 | |||
| Octal | 17518 | |||
| Duodecimal | 6B512 | |||
| Hexadecimal | 3E916 | |||
1001 is a special natural number that comes right after 1000 and just before 1002. It's a number you might find interesting because of its unique properties.
Contents
What Makes 1001 Special?
1001 is known for a few cool things in the world of numbers. It's not a prime number, which means it can be divided evenly by numbers other than 1 and itself. Numbers like this are called composite numbers.
Palindromic Numbers Explained
One of the neatest things about 1001 is that it's a palindromic number. What does that mean?
How to Spot a Palindrome
A palindromic number reads the same forwards and backwards. Think of words like "madam" or "racecar" – they are palindromes too! For 1001, if you read it from left to right (one-zero-zero-one) or from right to left (one-zero-zero-one), it's exactly the same.
The Prime Factors of 1001
Even though 1001 is a composite number, it's made up of some very special building blocks called prime numbers.
Discovering the Prime Building Blocks
The prime numbers that multiply together to make 1001 are 7, 11, and 13. This means:
- 7 × 11 × 13 = 1001
These three numbers are unique because they are all prime, and they are consecutive prime numbers! That's quite rare and makes 1001 stand out.
The "Magic" of Multiplying by 1001
Here's a fun trick you can do with 1001. If you multiply any three-digit number by 1001, you'll get a very interesting result.
The XYZ-XYZ Pattern
Let's say you pick a three-digit number, like 123. If you multiply 123 by 1001, you get 123,123.
- 123 × 1001 = 123,123
This pattern, where a three-digit number repeats itself (like xyz-xyz), always happens when you multiply by 1001.
Why This Pattern Happens
This happens because 1001 can be thought of as 1000 + 1. So, when you multiply a number (let's call it 'xyz') by 1001, it's like doing:
- xyz × (1000 + 1) = (xyz × 1000) + (xyz × 1)
- This equals xyz000 + xyz, which results in xyzxyz.
Any number that looks like xyz-xyz (for example, 456,456) will always be a composite number because it can be divided by 1001 (and also by 7, 11, and 13!).
