Q: What are the prime factors of the number 354,082,500?

 A: 2, 3, 5, 15737

Why are those the prime factors of the number 354,082,500?

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 354,082,500

354,082,500
Factor Arrows
2177,041,250
Factor Arrows
288,520,625
Factor Arrows
329,506,875
Factor Arrows
39,835,625
Factor Arrows
51,967,125
Factor Arrows
5393,425
Factor Arrows
578,685
Factor Arrows
515,737

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, 15737

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 5 x 5 x 5 x 5 x 15,737 = 354,082,500

This can also be written as 22 x 32 x 54 x 15,7371 = 354,082,500

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


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