Q: What are the prime factors of the number 332,061,480?

 A: 2, 3, 5, 19, 43, 1129

Why are those the prime factors of the number 332,061,480?

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 332,061,480

332,061,480
Factor Arrows
2166,030,740
Factor Arrows
283,015,370
Factor Arrows
241,507,685
Factor Arrows
313,835,895
Factor Arrows
34,611,965
Factor Arrows
5922,393
Factor Arrows
1948,547
Factor Arrows
431,129

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, 19, 43, 1129

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 5 x 19 x 43 x 1,129 = 332,061,480

This can also be written as 23 x 32 x 51 x 191 x 431 x 1,1291 = 332,061,480

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


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