Number dictionary · Exact arithmetic
370: factors and number facts
three hundred seventy is an even number and is composite. Its 8 positive divisors form 4 factor pairs.
Number JD Editorial Team · Updated 2026-10-08
- In words
- three hundred seventy
- Roman numeral
- CCCLXX
- Prime factorization
- 2 × 5 × 37
- Digital root
- 1
All factors of 370
A positive factor divides 370 with no remainder. In ascending order, the complete list is:
1, 2, 5, 10, 37, 74, 185, 370
Factor pairs
- 1 × 370 = 370
- 2 × 185 = 370
- 5 × 74 = 370
- 10 × 37 = 370
Each pair describes an arrangement of 370 items into equal rows. The pairs have different row and column counts; 370 cannot make a square array of whole items.
Divisor totals
- Positive divisors
- 8
- Sum of all divisors
- 684
- Sum excluding 370
- 314
- Classification
- deficient
370 is deficient because its proper divisors add to 314, which is less than 370.
Prime factorization of 370
370 = 2 × 5 × 37
Repeated division, step by step
- 370 ÷ 2 = 185
- 185 ÷ 5 = 37
- 37 ÷ 37 = 1
Multiply the prime divisors in these steps to reconstruct 370. Each prime in this factorization occurs once. The divisor-count calculation is (1 + 1) × (1 + 1) × (1 + 1) = 8.
The preceding prime is 367. The next larger prime is 373. The factor list above explains why 370 is composite.
Learn the factorization method370 in words, Roman numerals and other bases
| Representation | Value |
|---|---|
| English (US style) | three hundred seventy |
| Roman numeral | CCCLXX |
| Binary (base 2) | 101110010 |
| Octal (base 8) | 562 |
| Decimal (base 10) | 370 |
| Hexadecimal (base 16) | 172 |
Check the binary conversion
Read 101110010 from right to left using place values 1, 2, 4, 8 and successive powers of two. Keep the values whose bit is 1:
256 + 64 + 32 + 16 + 2 = 370
Check the hexadecimal conversion
1 × 16^2 + 7 × 16^1 + 2 × 16^0 = 370
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 370
- 370 squared
- 370 × 370 = 136,900
- 370 cubed
- 370 × 370 × 370 = 50,653,000
- Square root
- ≈ 19.235384
- Simplified radical
- √370
370 lies between 361 (19²) and 400 (20²), so it is not a perfect square. It is not a perfect cube.
370 is not triangular: no positive whole-number k satisfies k(k + 1) / 2 = 370.
Distinguish a square from a square rootMultiplication table for 370
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 | 185 | 0 | Yes |
| 3 | 123 | 1 | No |
| 4 | 92 | 2 | No |
| 5 | 74 | 0 | Yes |
| 6 | 61 | 4 | No |
| 7 | 52 | 6 | No |
| 8 | 46 | 2 | No |
| 9 | 41 | 1 | No |
| 10 | 37 | 0 | Yes |
| 11 | 33 | 7 | No |
| 12 | 30 | 10 | No |
For example, 370 = 7 × 52 + 6. A remainder of zero is what makes a divisor a factor.
Digit sum and digital root of 370
370 contains 3 decimal digits. Its digit sum is 3 + 7 + 0 = 10.
- 370: 3 + 7 + 0 = 10
- 10: 1 + 0 = 1
The digital root is 1. Reversing its digits gives 073; 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, 370/100 simplifies to 37/10 by dividing both terms by their greatest common divisor, 10. Its decimal value is 3.7. Because the numerator exceeds the denominator, this value is greater than one.
The greatest common divisor of 370 and 12 is 2. Their least common multiple is 2220. The identity GCD × LCM = 370 × 12 = 4440 checks both results.
Work through GCF and LCMQuestions about 370
What are the factors of 370?
The positive factors are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 factors, including 1 and 370.
Is 370 a prime number?
No. 370 is composite: 2 × 5 × 37 = 370.
How do you write 370 in Roman numerals?
370 is CCCLXX in standard subtractive Roman numeral notation.
What is the binary representation of 370?
370 in decimal is 101110010 in base 2. Adding its active place values gives 256 + 64 + 32 + 16 + 2 = 370.
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 370
Meaning varies by tradition and personal experience. One sighting is not evidence of what will happen next.
The digits of 370 add to 10. 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.