Q: What are the prime factors of the number 143,405,232?

 A: 2, 3, 29, 71, 1451

Why are those the prime factors of the number 143,405,232?

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 143,405,232

143,405,232
Factor Arrows
271,702,616
Factor Arrows
235,851,308
Factor Arrows
217,925,654
Factor Arrows
28,962,827
Factor Arrows
32,987,609
Factor Arrows
29103,021
Factor Arrows
711,451

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, 29, 71, 1451

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 29 x 71 x 1,451 = 143,405,232

This can also be written as 24 x 31 x 291 x 711 x 1,4511 = 143,405,232

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


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