Q: What are the prime factors of the number 67,438,332?

 A: 2, 3, 13, 593

Why are those the prime factors of the number 67,438,332?

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 67,438,332

67,438,332
Factor Arrows
233,719,166
Factor Arrows
216,859,583
Factor Arrows
35,619,861
Factor Arrows
31,873,287
Factor Arrows
3624,429
Factor Arrows
3208,143
Factor Arrows
369,381
Factor Arrows
323,127
Factor Arrows
37,709
Factor Arrows
13593

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, 593

We can check our work by multiplying all of the prime factors together: 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 13 x 593 = 67,438,332

This can also be written as 22 x 37 x 131 x 5931 = 67,438,332

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


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