Q: What are the prime factors of the number 712,420,176?

 A: 2, 3, 13, 31, 2833

Why are those the prime factors of the number 712,420,176?

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 712,420,176

712,420,176
Factor Arrows
2356,210,088
Factor Arrows
2178,105,044
Factor Arrows
289,052,522
Factor Arrows
244,526,261
Factor Arrows
314,842,087
Factor Arrows
131,141,699
Factor Arrows
1387,823
Factor Arrows
312,833

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, 13, 31, 2833

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 3 x 13 x 13 x 31 x 2,833 = 712,420,176

This can also be written as 24 x 31 x 132 x 311 x 2,8331 = 712,420,176

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


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