Q: What are the prime factors of the number 703,423,015?

 A: 5, 31, 181, 25073

Why are those the prime factors of the number 703,423,015?

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 703,423,015

703,423,015
Factor Arrows
5140,684,603
Factor Arrows
314,538,213
Factor Arrows
18125,073

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:

5, 31, 181, 25073

We can check our work by multiplying all of the prime factors together: 5 x 31 x 181 x 25,073 = 703,423,015

This can also be written as 51 x 311 x 1811 x 25,0731 = 703,423,015

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


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