Q: What are the prime factors of the number 70,237,120?

 A: 2, 5, 219491

Why are those the prime factors of the number 70,237,120?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 70,237,120

70,237,120
Factor Arrows
235,118,560
Factor Arrows
217,559,280
Factor Arrows
28,779,640
Factor Arrows
24,389,820
Factor Arrows
22,194,910
Factor Arrows
21,097,455
Factor Arrows
5219,491

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 219491

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 5 x 219,491 = 70,237,120

This can also be written as 26 x 51 x 219,4911 = 70,237,120

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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