Q: What are the prime factors of the number 320,151,552?

 A: 2, 3, 7, 1861

Why are those the prime factors of the number 320,151,552?

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 320,151,552

320,151,552
Factor Arrows
2160,075,776
Factor Arrows
280,037,888
Factor Arrows
240,018,944
Factor Arrows
220,009,472
Factor Arrows
210,004,736
Factor Arrows
25,002,368
Factor Arrows
22,501,184
Factor Arrows
21,250,592
Factor Arrows
2625,296
Factor Arrows
2312,648
Factor Arrows
2156,324
Factor Arrows
278,162
Factor Arrows
239,081
Factor Arrows
313,027
Factor Arrows
71,861

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, 7, 1861

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 2 x 2 x 2 x 3 x 7 x 1,861 = 320,151,552

This can also be written as 213 x 31 x 71 x 1,8611 = 320,151,552

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


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