Q: What are the prime factors of the number 858,015,620?

 A: 2, 5, 7, 11, 557153

Why are those the prime factors of the number 858,015,620?

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 858,015,620

858,015,620
Factor Arrows
2429,007,810
Factor Arrows
2214,503,905
Factor Arrows
542,900,781
Factor Arrows
76,128,683
Factor Arrows
11557,153

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, 7, 11, 557153

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 11 x 557,153 = 858,015,620

This can also be written as 22 x 51 x 71 x 111 x 557,1531 = 858,015,620

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


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