Q: What are the prime factors of the number 244,456,100?

 A: 2, 5, 7, 7127

Why are those the prime factors of the number 244,456,100?

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 244,456,100

244,456,100
Factor Arrows
2122,228,050
Factor Arrows
261,114,025
Factor Arrows
512,222,805
Factor Arrows
52,444,561
Factor Arrows
7349,223
Factor Arrows
749,889
Factor Arrows
77,127

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, 7, 7127

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 5 x 7 x 7 x 7 x 7,127 = 244,456,100

This can also be written as 22 x 52 x 73 x 7,1271 = 244,456,100

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


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