Q: What are the prime factors of the number 60,360,404?

 A: 2, 13, 17, 68281

Why are those the prime factors of the number 60,360,404?

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 60,360,404

60,360,404
Factor Arrows
230,180,202
Factor Arrows
215,090,101
Factor Arrows
131,160,777
Factor Arrows
1768,281

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, 13, 17, 68281

We can check our work by multiplying all of the prime factors together: 2 x 2 x 13 x 17 x 68,281 = 60,360,404

This can also be written as 22 x 131 x 171 x 68,2811 = 60,360,404

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


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