Q: What are the prime factors of the number 41,740,650?

 A: 2, 3, 5, 7, 631

Why are those the prime factors of the number 41,740,650?

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 41,740,650

41,740,650
Factor Arrows
220,870,325
Factor Arrows
36,956,775
Factor Arrows
32,318,925
Factor Arrows
3772,975
Factor Arrows
5154,595
Factor Arrows
530,919
Factor Arrows
74,417
Factor Arrows
7631

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, 631

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 7 x 7 x 631 = 41,740,650

This can also be written as 21 x 33 x 52 x 72 x 6311 = 41,740,650

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


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