Q: What are the prime factors of the number 360,383,140?

 A: 2, 5, 13, 1386089

Why are those the prime factors of the number 360,383,140?

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 360,383,140

360,383,140
Factor Arrows
2180,191,570
Factor Arrows
290,095,785
Factor Arrows
518,019,157
Factor Arrows
131,386,089

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, 13, 1386089

We can check our work by multiplying all of the prime factors together: 2 x 2 x 5 x 13 x 1,386,089 = 360,383,140

This can also be written as 22 x 51 x 131 x 1,386,0891 = 360,383,140

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


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