Q: What are the prime factors of the number 84,503,552?

 A: 2, 7, 11789

Why are those the prime factors of the number 84,503,552?

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 84,503,552

84,503,552
Factor Arrows
242,251,776
Factor Arrows
221,125,888
Factor Arrows
210,562,944
Factor Arrows
25,281,472
Factor Arrows
22,640,736
Factor Arrows
21,320,368
Factor Arrows
2660,184
Factor Arrows
2330,092
Factor Arrows
2165,046
Factor Arrows
282,523
Factor Arrows
711,789

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, 7, 11789

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11,789 = 84,503,552

This can also be written as 210 x 71 x 11,7891 = 84,503,552

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


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