Q: What are the prime factors of the number 143,243,310?

 A: 2, 3, 5, 7, 23, 47, 631

Why are those the prime factors of the number 143,243,310?

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 143,243,310

143,243,310
Factor Arrows
271,621,655
Factor Arrows
323,873,885
Factor Arrows
54,774,777
Factor Arrows
7682,111
Factor Arrows
2329,657
Factor Arrows
47631

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, 23, 47, 631

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 7 x 23 x 47 x 631 = 143,243,310

This can also be written as 21 x 31 x 51 x 71 x 231 x 471 x 6311 = 143,243,310

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


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