Q: What are the prime factors of the number 713,424,236?

 A: 2, 7, 19, 1341023

Why are those the prime factors of the number 713,424,236?

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 713,424,236

713,424,236
Factor Arrows
2356,712,118
Factor Arrows
2178,356,059
Factor Arrows
725,479,437
Factor Arrows
191,341,023

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, 7, 19, 1341023

We can check our work by multiplying all of the prime factors together: 2 x 2 x 7 x 19 x 1,341,023 = 713,424,236

This can also be written as 22 x 71 x 191 x 1,341,0231 = 713,424,236

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


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