Q: What are the prime factors of the number 245,536,696?

 A: 2, 19, 157, 10289

Why are those the prime factors of the number 245,536,696?

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 245,536,696

245,536,696
Factor Arrows
2122,768,348
Factor Arrows
261,384,174
Factor Arrows
230,692,087
Factor Arrows
191,615,373
Factor Arrows
15710,289

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, 19, 157, 10289

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 157 x 10,289 = 245,536,696

This can also be written as 23 x 191 x 1571 x 10,2891 = 245,536,696

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


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