Q: What are the prime factors of the number 232,432,770?

 A: 2, 3, 5, 307, 25237

Why are those the prime factors of the number 232,432,770?

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 232,432,770

232,432,770
Factor Arrows
2116,216,385
Factor Arrows
338,738,795
Factor Arrows
57,747,759
Factor Arrows
30725,237

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, 5, 307, 25237

We can check our work by multiplying all of the prime factors together: 2 x 3 x 5 x 307 x 25,237 = 232,432,770

This can also be written as 21 x 31 x 51 x 3071 x 25,2371 = 232,432,770

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


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