Q: What are the prime factors of the number 15,571,476?

 A: 2, 3, 47, 9203

Why are those the prime factors of the number 15,571,476?

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 15,571,476

15,571,476
Factor Arrows
27,785,738
Factor Arrows
23,892,869
Factor Arrows
31,297,623
Factor Arrows
3432,541
Factor Arrows
479,203

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, 47, 9203

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 47 x 9,203 = 15,571,476

This can also be written as 22 x 32 x 471 x 9,2031 = 15,571,476

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


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