Q: What are the prime factors of the number 2,614,950?

 A: 2, 3, 5, 13, 149

Why are those the prime factors of the number 2,614,950?

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 2,614,950

2,614,950
Factor Arrows
21,307,475
Factor Arrows
3435,825
Factor Arrows
3145,275
Factor Arrows
348,425
Factor Arrows
59,685
Factor Arrows
51,937
Factor Arrows
13149

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, 13, 149

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 3 x 5 x 5 x 13 x 149 = 2,614,950

This can also be written as 21 x 33 x 52 x 131 x 1491 = 2,614,950

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


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