Q: What are the prime factors of the number 344,422,500?

 A: 2, 3, 5, 19, 2417

Why are those the prime factors of the number 344,422,500?

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 344,422,500

344,422,500
Factor Arrows
2172,211,250
Factor Arrows
286,105,625
Factor Arrows
328,701,875
Factor Arrows
55,740,375
Factor Arrows
51,148,075
Factor Arrows
5229,615
Factor Arrows
545,923
Factor Arrows
192,417

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, 3, 5, 19, 2417

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 5 x 5 x 5 x 19 x 2,417 = 344,422,500

This can also be written as 22 x 31 x 54 x 191 x 2,4171 = 344,422,500

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


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