Q: What are the prime factors of the number 7,483,910?

 A: 2, 5, 7, 17, 19, 331

Why are those the prime factors of the number 7,483,910?

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 7,483,910

7,483,910
Factor Arrows
23,741,955
Factor Arrows
5748,391
Factor Arrows
7106,913
Factor Arrows
176,289
Factor Arrows
19331

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, 17, 19, 331

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 17 x 19 x 331 = 7,483,910

This can also be written as 21 x 51 x 71 x 171 x 191 x 3311 = 7,483,910

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


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