Q: What are the prime factors of the number 740,260,216?

 A: 2, 19, 4870133

Why are those the prime factors of the number 740,260,216?

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 740,260,216

740,260,216
Factor Arrows
2370,130,108
Factor Arrows
2185,065,054
Factor Arrows
292,532,527
Factor Arrows
194,870,133

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, 19, 4870133

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 19 x 4,870,133 = 740,260,216

This can also be written as 23 x 191 x 4,870,1331 = 740,260,216

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


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