Q: What are the prime factors of the number 143,714,364?

 A: 2, 3, 37, 431, 751

Why are those the prime factors of the number 143,714,364?

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 143,714,364

143,714,364
Factor Arrows
271,857,182
Factor Arrows
235,928,591
Factor Arrows
311,976,197
Factor Arrows
37323,681
Factor Arrows
431751

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, 37, 431, 751

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 37 x 431 x 751 = 143,714,364

This can also be written as 22 x 31 x 371 x 4311 x 7511 = 143,714,364

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


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