Q: What are the prime factors of the number 736,600,144?

 A: 2, 7, 37, 67, 379

Why are those the prime factors of the number 736,600,144?

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 736,600,144

736,600,144
Factor Arrows
2368,300,072
Factor Arrows
2184,150,036
Factor Arrows
292,075,018
Factor Arrows
246,037,509
Factor Arrows
76,576,787
Factor Arrows
7939,541
Factor Arrows
3725,393
Factor Arrows
67379

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, 7, 37, 67, 379

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 7 x 7 x 37 x 67 x 379 = 736,600,144

This can also be written as 24 x 72 x 371 x 671 x 3791 = 736,600,144

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


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