Factors Calculator - Popular Factorizations

Basic Calculator

Select a number below to see its complete factorization, or use our general factors calculator for any number.

Why Factor Numbers?

When first learning math skills, factoring gives a better understanding of multiplication tables. Instead of practicing multiplication of two numbers, you are working in reverse. Starting with one number, use systematic problem-solving skills like trial division to find all possible factors of a number. This skill is important in areas of mathematics such as simplifying fractions, or in geometry regarding area of a shape, or in algebra when factoring polynomials.

In everyday life we need factoring skills for common problems. Consider these examples.

Pack 100 items evenly into boxes that will be easy to carry. Is it 2 boxes of 50 each? Is it 10 boxes of 10 each? Knowing how to factor 100 helps lay out the options.
Build a rectangular garden to arrange 36 plants evenly spaced with one foot around each plant. Do you want 1 row of 36 plants? Do you want 6 rows of 6 plants each? Knowing how to factor 36 can optimize the layout of your garden.