Q: What are the prime factors of the number 274,880,300?

 A: 2, 5, 2748803

Why are those the prime factors of the number 274,880,300?

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 274,880,300

274,880,300
Factor Arrows
2137,440,150
Factor Arrows
268,720,075
Factor Arrows
513,744,015
Factor Arrows
52,748,803

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, 5, 2748803

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 2,748,803 = 274,880,300

This can also be written as 22 x 52 x 2,748,8031 = 274,880,300

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


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