How do you find all the factors of 44?

Question

Gabriel Agustin · Accepted Answer

Find factor pairs.

#F_44= {1," "2," "4," "11," "22," "44}# A number is always a factor of itself; a factor is a number that divides into a larger number without leaving a remainder. Factors are invariably paired; take the division of one to obtain the other. A number's square root, which is located in the middle of the factors arranged in order, is the number's maximum factor. To find all the factors of a number, start at 1. #sqrt44 = 6. ....# The only numbers we need to consider are #1," "2" "3" "4" "5" "6# #1# is a factor: The factor pair is #color(blue)(1 xx44)# #2# is a factor: The factor pair is #color(blue)(2xx22)# #3# is not a factor of 44 #4# is a factor: The factor pair is #color(blue)(4xx11)# #5# is not a factor of 44 #6# is not a factor of 44 Thus, the 44 factors are as follows: #color(blue)(1," "2," "4," "11," "22," "44)# #color(white)(......................)color(red)(uarr)# #color(white)(.....................)color(red)(sqrt44)# Take note of this: Any number's factors are always 1 and the number itself. In this situation, using a factor tree or prime factors would be ineffective because they do not show every possible combination of the prime factors.

Jeremiah Andrews · Answer

undefined To find all the factors of 44, you can divide 44 by each integer starting from 1 up to the square root of 44. If the division results in an integer quotient, then that integer is a factor of 44. Factors always come in pairs, so if you find a factor, its pair will be the result of dividing 44 by that factor.

The factors of 44 are: 1, 2, 4, 11, 22, and 44.