Q: What are the prime factors of the number 34,642,296?

 A: 2, 3, 13, 73

Why are those the prime factors of the number 34,642,296?

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 34,642,296

34,642,296
Factor Arrows
217,321,148
Factor Arrows
28,660,574
Factor Arrows
24,330,287
Factor Arrows
31,443,429
Factor Arrows
3481,143
Factor Arrows
3160,381
Factor Arrows
1312,337
Factor Arrows
13949
Factor Arrows
1373

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, 73

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 13 x 13 x 13 x 73 = 34,642,296

This can also be written as 23 x 33 x 133 x 731 = 34,642,296

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


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