Q: What are the prime factors of the number 2,058,630?

 A: 2, 3, 5, 7, 9803

Why are those the prime factors of the number 2,058,630?

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 2,058,630

2,058,630
Factor Arrows
21,029,315
Factor Arrows
3343,105
Factor Arrows
568,621
Factor Arrows
79,803

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, 7, 9803

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 7 x 9,803 = 2,058,630

This can also be written as 21 x 31 x 51 x 71 x 9,8031 = 2,058,630

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


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