Q: What are the prime factors of the number 312,140,744?

 A: 2, 53, 736181

Why are those the prime factors of the number 312,140,744?

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 312,140,744

312,140,744
Factor Arrows
2156,070,372
Factor Arrows
278,035,186
Factor Arrows
239,017,593
Factor Arrows
53736,181

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, 53, 736181

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 53 x 736,181 = 312,140,744

This can also be written as 23 x 531 x 736,1811 = 312,140,744

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


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