Q: What are the prime factors of the number 244,025,538?

 A: 2, 3, 23, 1217, 1453

Why are those the prime factors of the number 244,025,538?

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 244,025,538

244,025,538
Factor Arrows
2122,012,769
Factor Arrows
340,670,923
Factor Arrows
231,768,301
Factor Arrows
1,2171,453

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, 23, 1217, 1453

We can check our work by multiplying all of the prime factors together: 2 x 3 x 23 x 1,217 x 1,453 = 244,025,538

This can also be written as 21 x 31 x 231 x 1,2171 x 1,4531 = 244,025,538

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


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