Factors of 420
Answer
Factors: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Number of factors: 24
Factor pairs: (1, 420), (2, 210), (3, 140), (4, 105), (5, 84), (6, 70), (7, 60), (10, 42), (12, 35), (14, 30), (15, 28), (20, 21)
Prime Factorization
420 = 22 × 3 × 5 × 7
Properties
- This number is not prime
- This number is not a perfect square
- This is an even number
- Sum of all factors: 1,344
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Understanding the Factors of 420
When we look at the number 420, we find that it has 24 factors in total. These are the numbers that divide evenly into 420 with no remainder.
This number is composite, meaning it has more than two factors. It can be written as the product of its prime factors: 22 × 3 × 5 × 7.
Factor Pairs
The factors of 420 can be arranged in pairs: (1, 420), (2, 210), (3, 140), (4, 105), (5, 84), (6, 70), (7, 60), (10, 42), (12, 35), (14, 30), (15, 28), (20, 21). Each pair multiplies to give 420.