Q: What are the prime factors of the number 155,468,048?

 A: 2, 43, 89, 2539

Why are those the prime factors of the number 155,468,048?

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 155,468,048

155,468,048
Factor Arrows
277,734,024
Factor Arrows
238,867,012
Factor Arrows
219,433,506
Factor Arrows
29,716,753
Factor Arrows
43225,971
Factor Arrows
892,539

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, 43, 89, 2539

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 43 x 89 x 2,539 = 155,468,048

This can also be written as 24 x 431 x 891 x 2,5391 = 155,468,048

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


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