Q: What are the prime factors of the number 712,747,420?

 A: 2, 5, 7, 11, 131, 3533

Why are those the prime factors of the number 712,747,420?

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 712,747,420

712,747,420
Factor Arrows
2356,373,710
Factor Arrows
2178,186,855
Factor Arrows
535,637,371
Factor Arrows
75,091,053
Factor Arrows
11462,823
Factor Arrows
1313,533

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, 11, 131, 3533

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 7 x 11 x 131 x 3,533 = 712,747,420

This can also be written as 22 x 51 x 71 x 111 x 1311 x 3,5331 = 712,747,420

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


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