Q: What are the prime factors of the number 173,455,260?

 A: 2, 3, 5, 11, 37, 7103

Why are those the prime factors of the number 173,455,260?

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 173,455,260

173,455,260
Factor Arrows
286,727,630
Factor Arrows
243,363,815
Factor Arrows
314,454,605
Factor Arrows
52,890,921
Factor Arrows
11262,811
Factor Arrows
377,103

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, 11, 37, 7103

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 5 x 11 x 37 x 7,103 = 173,455,260

This can also be written as 22 x 31 x 51 x 111 x 371 x 7,1031 = 173,455,260

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


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