Q: What are the prime factors of the number 452,566,712?

 A: 2, 13, 73, 59611

Why are those the prime factors of the number 452,566,712?

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 452,566,712

452,566,712
Factor Arrows
2226,283,356
Factor Arrows
2113,141,678
Factor Arrows
256,570,839
Factor Arrows
134,351,603
Factor Arrows
7359,611

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, 73, 59611

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 13 x 73 x 59,611 = 452,566,712

This can also be written as 23 x 131 x 731 x 59,6111 = 452,566,712

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


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