Factors of 1792
2026-02-28 10:42 Diff

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

Step 1: Firstly, 1792 is divided by 2 to get 896.

Step 2: Now divide 896 by 2 to get 448.

Step 3: Then divide 448 by 2 to get 224.

Step 4: Divide 224 by 2 to get 112.

Step 5: Divide 112 by 2 to get 56.

Step 6: Divide 56 by 2 to get 28.

Step 7: Divide 28 by 2 to get 14.

Step 8: Divide 14 by 2 to get 7.

Here, 7 is the smallest prime number that cannot be divided anymore.

So, the prime factorization of 1792 is: 2^8 × 7.

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 1792: (1, 1792), (2, 896), (4, 448), (8, 224), (16, 112), and (32, 56).

Negative factor pairs of 1792: (-1, -1792), (-2, -896), (-4, -448), (-8, -224), (-16, -112), and (-32, -56).