Explore hidden patterns in numbers through their factor pairs

Factor Pairs of 70

All Factor Pairs of 70

Here are all the factor pairs of 70:

(1, 70)
(2, 35)
(5, 14)
(7, 10)

Total: 4 factor pairs

Visual Representation of Factors

These are all the factors of 70:

1
2
5
7
10
14
35
70

Properties of 70

Number Type
Abundant Number
Sum of All Factors
144
Sum of Proper Divisors
74
Total Factors
8
Prime Factorization
2 × 5 × 7
Perfect Square?
No

How to Calculate Factor Pairs of 70

Step-by-Step Process

To find all factor pairs of 70, we need to identify all integers that divide 70 evenly (with no remainder).

  1. Start with the smallest factor, which is always 1
  2. Check each integer from 1 up to the square root of 70 (v70 ≈ 8.37)
  3. For each factor found, its corresponding pair is calculated by dividing 70 by that factor

Calculation Example

Let's work through finding the factor pairs of 70:

Factor Check Division Result Factor Pair
70 ÷ 170.00Integer result(1, 70)
70 ÷ 235.00Integer result(2, 35)
70 ÷ 323.33Not a divisor-
70 ÷ 417.50Not a divisor-
70 ÷ 514.00Integer result(5, 14)
70 ÷ 611.67Not a divisor-
70 ÷ 710.00Integer result(7, 10)
70 ÷ 88.75Not a divisor-

Explore More Factor Pairs

Check out factor pairs of these randomly selected numbers:

Number Factor Pairs Total Pairs Details
4(1, 4), (2, 2)2View Details
10(1, 10), (2, 5)2View Details
25(1, 25), (5, 5)2View Details
48(1, 48), (2, 24), (3, 16), (4, 12), (6, 8)5View Details
96(1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12)6View Details
97(1, 97)1View Details

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More About Abundant Numbers

Abundant Numbers

An abundant number is a positive integer for which the sum of its proper divisors is greater than the number itself. The number 70 is abundant because the sum of its proper divisors (74) exceeds 70.

The smallest abundant number is 12, whose proper divisors are 1, 2, 3, 4, and 6, which sum to 16.