All factors of 420

How many factors does 420 have?

24 numbers will factor into 420. This means that there are 24 numbers 420 can be divided by completely, with no remainder.

The factors of 420 include:

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420.

The factors of 420 in pairs include:

1 - 420,

2 -210

3-140

4-105

8-84

6-70

7-60

10-42

12-35

14-30

15-28

20-21

Remember that a prime number is a number greater than 1 that can only be evenly divided by itself and 1. For example, 5 is a prime number.

Is 420 a prime number?

No, because it can be evenly divided by numbers other than itself and 1.

A composite number can be divided by numbers other than itself and 1 exactly (no remainder). To put it another way, numbers besides 1 and the number itself can be multiplied together to equal that number.

Is 420 composite?

Yes, 420 is composite because many numbers besides 420 and 1 can be multiplied together to equal 420 (i.e. 2 and3, etc.). 420 can be divided by numbers like 2, and 3 with no remainder.

What is the prime factorization of a number? The prime factorization of a number is the process of finding all the prime factors that multiply together to equal a given number.

For instance, the prime factorization of 12 is 2 x 2 x 3 = 12.

How can we find the prime factorization of 420?

I like to create a factor tree.

See the picture below for a factor tree of 420.

Prime factorization of 420

2 x 2 x 3 x 5 x7 = 420