Table Of Contents
Last updated on November 28th, 2024
Factors are the numbers that divide another number equally, without leaving any remainder. When you multiply two numbers to find another number, the two which are multiplied are factors. You can think of factors as the building blocks that will help you make numbers.
Factors are the numbers that help us divide things equally without any leftovers. The numbers 1, 3, 5, 15, 39, and 195 are the factors of 195. The number has both positive and negative integers that divide 195 without leaving any remainder.
Factors help us divide numbers equally, making calculations faster and easier. We can find factors from the following methods:
In this method, we take two numbers and find the product of those two numbers to get the required number.
Example:
3 × 65=195
1×195=195
This means that 1, 3, 5, 15, 39, and 195 are the factors of 195.
We divide 195 by numbers starting from 1 and see which number gives the remainder of 0.
195 ÷1=195
195 ÷ 3=65
195 ÷5=39
195 ÷15=13
195 ÷39=5
195 ÷65=3
195 ÷195=1
1, 3, 5, 15, 39, and 195 are the factors of 195.
The breaking down of numbers as prime factors is called prime factorization. The factors of 195 are:
195=3 × 5 × 13
A factor tree shows how a number can be parted down into prime factors.195 is broken down into two factors, 195 splits into 3 and 65
65 further splits into 5 and, 13
The prime factors are therefore: 3, 5, and 13.
Positive and negative pairs:
The factors of a number will have both the positive and negative numbers:
Positive :( 1, 3, 5, 15, 39, and 195)
Negative:(-1,- 3,- 5,- 15, -39, and -195)