Q: What are the prime factors of the number 145,200,320?

 A: 2, 5, 587, 773

Why are those the prime factors of the number 145,200,320?

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 145,200,320

145,200,320
Factor Arrows
272,600,160
Factor Arrows
236,300,080
Factor Arrows
218,150,040
Factor Arrows
29,075,020
Factor Arrows
24,537,510
Factor Arrows
22,268,755
Factor Arrows
5453,751
Factor Arrows
587773

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, 587, 773

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 5 x 587 x 773 = 145,200,320

This can also be written as 26 x 51 x 5871 x 7731 = 145,200,320

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


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