Factors of 1764
2026-02-28 11:06 Diff

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows 

Step 1: Firstly, 1764 is divided by 2 to get 882.

Step 2: Now divide 882 by 2 to get 441.

Step 3: Then divide 441 by 3 to get 147.

Step 4: Divide 147 by 3 to get 49.

Step 5: Divide 49 by 7 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore.

So, the prime factorization of 1764 is: 2² × 3² × 7².

Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.

Positive factor pairs of 1764: (1, 1764), (2, 882), (3, 588), (4, 441), (6, 294), (7, 252), (9, 196), (12, 147), (14, 126), (18, 98), (21, 84), (28, 63), (36, 49).

Negative factor pairs of 1764: (-1, -1764), (-2, -882), (-3, -588), (-4, -441), (-6, -294), (-7, -252), (-9, -196), (-12, -147), (-14, -126), (-18, -98), (-21, -84), (-28, -63), (-36, -49).