Q: What are the prime factors of the number 143,143,456?

 A: 2, 409, 10937

Why are those the prime factors of the number 143,143,456?

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 143,143,456

143,143,456
Factor Arrows
271,571,728
Factor Arrows
235,785,864
Factor Arrows
217,892,932
Factor Arrows
28,946,466
Factor Arrows
24,473,233
Factor Arrows
40910,937

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, 409, 10937

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 409 x 10,937 = 143,143,456

This can also be written as 25 x 4091 x 10,9371 = 143,143,456

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


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