Q: What are the prime factors of the number 716,620,502?

 A: 2, 13, 541, 3919

Why are those the prime factors of the number 716,620,502?

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 716,620,502

716,620,502
Factor Arrows
2358,310,251
Factor Arrows
1327,562,327
Factor Arrows
132,120,179
Factor Arrows
5413,919

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, 541, 3919

We can check our work by multiplying all of the prime factors together: 2 x 13 x 13 x 541 x 3,919 = 716,620,502

This can also be written as 21 x 132 x 5411 x 3,9191 = 716,620,502

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


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