Q: What are the prime factors of the number 140,368,672?

 A: 2, 4386521

Why are those the prime factors of the number 140,368,672?

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 140,368,672

140,368,672
Factor Arrows
270,184,336
Factor Arrows
235,092,168
Factor Arrows
217,546,084
Factor Arrows
28,773,042
Factor Arrows
24,386,521

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, 4386521

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 4,386,521 = 140,368,672

This can also be written as 25 x 4,386,5211 = 140,368,672

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


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