Q: What are the prime factors of the number 150,423,440?

 A: 2, 5, 71, 373

Why are those the prime factors of the number 150,423,440?

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 150,423,440

150,423,440
Factor Arrows
275,211,720
Factor Arrows
237,605,860
Factor Arrows
218,802,930
Factor Arrows
29,401,465
Factor Arrows
51,880,293
Factor Arrows
7126,483
Factor Arrows
71373

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, 5, 71, 373

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 71 x 71 x 373 = 150,423,440

This can also be written as 24 x 51 x 712 x 3731 = 150,423,440

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


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