Table Of Contents
Last updated on November 29th, 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, 2, 16, 28, 56, 112, 224, and 448 are the factors of 448. The number has both positive and negative integers that divide 448 without leaving any remainder.
Factors help us divide numbers equally, making calculations faster and easier. Given below are the methods used to find factors:
In this method, we take two numbers and find the product of those two numbers to get the required number.
Example:
2×224=448
1×448=448,
This means that 1, 2, 16, 28, 56, 112, 224, and 448 are the factors of 448.
We divide 448 by numbers starting from 1 and see which number gives the remainder of 0.
448 ÷ 1=448
448 ÷ 2=224
448 ÷4=112
448 ÷7=64
Repeat until you get 1 as the last product.
So the factors are 1, 2, 16, 28, 56, 112, 224, and 448.
The breaking down of numbers as prime factors is called prime factorization. The factors of 448 are:
448=26 x 7
A factor tree shows how a number can be parted down into prime factors.448 is broken down into two factors, 2 and 7.
Positive and negative pairs:
The factors of a number will have both the positive and negative numbers:
Positive :( 1, 2, 16, 28, 56, 112, 224, and 448.)
Negative:(-1,- 2, -16,- 28,- 56, -112,- 224, and -448.)
Find the sum of all positive factors of 448.
Determine the GCF of 448 and 896.
Is 448 a perfect square? Justify your answer.