Number dictionary · Exact arithmetic
107: factors and number facts
one hundred seven is an odd number and is prime. Its 2 positive divisors form 1 factor pair.
Number JD Editorial Team · Updated 2026-10-08
- In words
- one hundred seven
- Roman numeral
- CVII
- Prime factorization
- 107
- Digital root
- 8
All factors of 107
A positive factor divides 107 with no remainder. In ascending order, the complete list is:
1, 107
Factor pairs
- 1 × 107 = 107
Each pair describes an arrangement of 107 items into equal rows. The pairs have different row and column counts; 107 cannot make a square array of whole items.
Divisor totals
- Positive divisors
- 2
- Sum of all divisors
- 108
- Sum excluding 107
- 1
- Classification
- deficient
107 is deficient because its proper divisors add to 1, which is less than 107.
Prime factorization of 107
107 = 107
Repeated division, step by step
- 107 ÷ 107 = 1
Multiply the prime divisors in these steps to reconstruct 107. Each prime in this factorization occurs once. The divisor-count calculation is (1 + 1) = 2.
The preceding prime is 103. The next larger prime is 109. To check 107 for primality, it is sufficient to test possible divisors from 2 through 10.
Learn the factorization method107 in words, Roman numerals and other bases
| Representation | Value |
|---|---|
| English (US style) | one hundred seven |
| Roman numeral | CVII |
| Binary (base 2) | 1101011 |
| Octal (base 8) | 153 |
| Decimal (base 10) | 107 |
| Hexadecimal (base 16) | 6B |
Check the binary conversion
Read 1101011 from right to left using place values 1, 2, 4, 8 and successive powers of two. Keep the values whose bit is 1:
64 + 32 + 8 + 2 + 1 = 107
Check the hexadecimal conversion
6 × 16^1 + 11 × 16^0 = 107
Hexadecimal uses A through F for digit values 10 through 15. These notations represent the same quantity; changing the base does not change the integer.
Square, cube and square root of 107
- 107 squared
- 107 × 107 = 11,449
- 107 cubed
- 107 × 107 × 107 = 1,225,043
- Square root
- ≈ 10.344080
- Simplified radical
- √107
107 lies between 100 (10²) and 121 (11²), so it is not a perfect square. It is not a perfect cube.
107 is not triangular: no positive whole-number k satisfies k(k + 1) / 2 = 107.
Distinguish a square from a square rootMultiplication table for 107
These are the first twelve positive multiples. Unlike the finite factor list, the sequence of multiples continues without an upper limit.
Divisibility checks
| Divide by | Whole quotient | Remainder | Divides exactly? |
|---|---|---|---|
| 2 | 53 | 1 | No |
| 3 | 35 | 2 | No |
| 4 | 26 | 3 | No |
| 5 | 21 | 2 | No |
| 6 | 17 | 5 | No |
| 7 | 15 | 2 | No |
| 8 | 13 | 3 | No |
| 9 | 11 | 8 | No |
| 10 | 10 | 7 | No |
| 11 | 9 | 8 | No |
| 12 | 8 | 11 | No |
For example, 107 = 7 × 15 + 2. A remainder of zero is what makes a divisor a factor.
Digit sum and digital root of 107
107 contains 3 decimal digits. Its digit sum is 1 + 0 + 7 = 8.
- 107: 1 + 0 + 7 = 8
The digital root is 8. Reversing its digits gives 701; it is not a decimal palindrome. Digit patterns depend on the notation being used.
Digital-root arithmetic always finishes at a single digit for a positive integer. Some numerology methods stop at 11, 22 or 33 instead; that is a separate interpretive convention.
Fractions and a worked comparison
As a fraction of 100, 107/100 simplifies to 107/100 by dividing both terms by their greatest common divisor, 1. Its decimal value is 1.07. Because the numerator exceeds the denominator, this value is greater than one.
The greatest common divisor of 107 and 12 is 1. Their least common multiple is 1284. The identity GCD × LCM = 107 × 12 = 1284 checks both results.
Work through GCF and LCMQuestions about 107
What are the factors of 107?
The positive factors are 1, 107. There are 2 factors, including 1 and 107.
Is 107 a prime number?
Yes. The only positive divisors of 107 are 1 and 107.
How do you write 107 in Roman numerals?
107 is CVII in standard subtractive Roman numeral notation.
What is the binary representation of 107?
107 in decimal is 1101011 in base 2. Adding its active place values gives 64 + 32 + 8 + 2 + 1 = 107.
Methods and reference definitions
Number JD calculates each result from the integer on this page. Positive factors are enumerated in pairs; repeated division gives the prime factorization; place values verify base conversions. Decimal square roots are rounded to six places when irrational.
NUMBER JOURNAL / JD
A reflective note on 107
Meaning varies by tradition and personal experience. One sighting is not evidence of what will happen next.
The digits of 107 add to 8. That arithmetic result is separate from the cultural symbolism of the pattern. If this number matters to you, write down what you noticed and choose one grounded action rather than treating the sighting as a prediction.