Q: What are the prime factors of the number 142,223,425?

 A: 5, 131, 43427

Why are those the prime factors of the number 142,223,425?

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 142,223,425

142,223,425
Factor Arrows
528,444,685
Factor Arrows
55,688,937
Factor Arrows
13143,427

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:

5, 131, 43427

We can check our work by multiplying all of the prime factors together: 5 x 5 x 131 x 43,427 = 142,223,425

This can also be written as 52 x 1311 x 43,4271 = 142,223,425

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


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