Q: What are the prime factors of the number 79,490,000?

 A: 2, 5, 7949

Why are those the prime factors of the number 79,490,000?

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 79,490,000

79,490,000
Factor Arrows
239,745,000
Factor Arrows
219,872,500
Factor Arrows
29,936,250
Factor Arrows
24,968,125
Factor Arrows
5993,625
Factor Arrows
5198,725
Factor Arrows
539,745
Factor Arrows
57,949

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, 7949

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5 x 7,949 = 79,490,000

This can also be written as 24 x 54 x 7,9491 = 79,490,000

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


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