Factors of 1824
2026-02-28 09:56 Diff

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

Step 1: Firstly, 1824 is divided by 2 to get 912.

Step 2: Now divide 912 by 2 to get 456.

Step 3: Then divide 456 by 2 to get 228.

Step 4: Divide 228 by 2 to get 114.

Step 5: Divide 114 by 2 to get 57.

Step 6: Finally, divide 57 by 19 to get 3.

Here, 3 is the smallest prime number that cannot be divided anymore.

So, the prime factorization of 1824 is: 2^6 × 19.

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 1824: (1, 1824), (2, 912), (4, 456), (6, 304), (8, 228), (12, 152), (16, 114), (19, 96), (24, 76), (32, 57), (38, 48).

Negative factor pairs of 1824: (-1, -1824), (-2, -912), (-4, -456), (-6, -304), (-8, -228), (-12, -152), (-16, -114), (-19, -96), (-24, -76), (-32, -57), (-38, -48).