Q: What are the prime factors of the number 375,486,360?

 A: 2, 3, 5, 19, 37, 4451

Why are those the prime factors of the number 375,486,360?

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 375,486,360

375,486,360
Factor Arrows
2187,743,180
Factor Arrows
293,871,590
Factor Arrows
246,935,795
Factor Arrows
315,645,265
Factor Arrows
53,129,053
Factor Arrows
19164,687
Factor Arrows
374,451

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, 37, 4451

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 5 x 19 x 37 x 4,451 = 375,486,360

This can also be written as 23 x 31 x 51 x 191 x 371 x 4,4511 = 375,486,360

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


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