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# Define factor. Give four examples.

Last updated date: 24th Jul 2024
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(2) Consider the number 15. Now, 15 is a composite number so it can be written as the product of its prime factors as $15=3\times 5$. Therefore, we can say that in addition to 1 and 15 the given number has two more factors 3 and 5.
(3) Consider the number 56. It can be written as $56=2\times 2\times 2\times 7$, so 56 can be divided by 2, 4, 7, 8, 14 and 28 without leaving any remainder, so they are the factors of 56 in addition to 1 and 56.
(4) Consider the number 100. It can be written as $100=2\times 2\times 5\times 5$, so grouping the factors properly we can conclude that 100 can be divided by 2, 4, 5, 10, 20, 25 and 50 in addition to 1 and 100. Therefore, the listed numbers are the factors of 100.
Note: Note that 1 is a factor of every number and every number is a factor of itself. If you are asked to find the number of factors (including both prime and composite) then write the given number in the form ${{a}^{m}}\times {{b}^{n}}\times {{c}^{p}}...$ and so on. Here a, b, c…. are the different prime factors and m, n, o… are their exponents. Use the formula for the number of prime factors given as $\left( m+1 \right)\left( n+1 \right)\left( p+1 \right)....$ to get the answer.