Q: What are the prime factors of the number 605,441,500?

 A: 2, 5, 1210883

Why are those the prime factors of the number 605,441,500?

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 605,441,500

605,441,500
Factor Arrows
2302,720,750
Factor Arrows
2151,360,375
Factor Arrows
530,272,075
Factor Arrows
56,054,415
Factor Arrows
51,210,883

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, 1210883

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 5 x 1,210,883 = 605,441,500

This can also be written as 22 x 53 x 1,210,8831 = 605,441,500

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


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