Q: What are the prime factors of the number 141,261,056?

 A: 2, 551801

Why are those the prime factors of the number 141,261,056?

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 141,261,056

141,261,056
Factor Arrows
270,630,528
Factor Arrows
235,315,264
Factor Arrows
217,657,632
Factor Arrows
28,828,816
Factor Arrows
24,414,408
Factor Arrows
22,207,204
Factor Arrows
21,103,602
Factor Arrows
2551,801

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, 551801

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 551,801 = 141,261,056

This can also be written as 28 x 551,8011 = 141,261,056

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


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