Q: What are the prime factors of the number 741,203,470?

 A: 2, 5, 7, 43, 246247

Why are those the prime factors of the number 741,203,470?

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 741,203,470

741,203,470
Factor Arrows
2370,601,735
Factor Arrows
574,120,347
Factor Arrows
710,588,621
Factor Arrows
43246,247

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, 7, 43, 246247

We can check our work by multiplying all of the prime factors together: 2 x 5 x 7 x 43 x 246,247 = 741,203,470

This can also be written as 21 x 51 x 71 x 431 x 246,2471 = 741,203,470

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


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