Q: What are the prime factors of the number 231,373,710?

 A: 2, 3, 5, 1303, 1973

Why are those the prime factors of the number 231,373,710?

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 231,373,710

231,373,710
Factor Arrows
2115,686,855
Factor Arrows
338,562,285
Factor Arrows
312,854,095
Factor Arrows
52,570,819
Factor Arrows
1,3031,973

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, 1303, 1973

We can check our work by multiplying all of the prime factors together: 2 x 3 x 3 x 5 x 1,303 x 1,973 = 231,373,710

This can also be written as 21 x 32 x 51 x 1,3031 x 1,9731 = 231,373,710

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


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